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Finding the Fourth Proportional to 1,312.76, 1,811.64 and 723.34

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Solution

The fourth proportional to 1,312.76, 1,811.64 and 723.34 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.76 : 1,811.64 = 723.34 : x
  2. Step 2: Convert to fraction form
    1,312.76/1,811.64 = 723.34/x
  3. Step 3: Cross multiply
    1,312.76x = 1,811.64 × 723.34
  4. Step 4: Simplify right side
    1,312.76x = 1,310,431.68
  5. Step 5: Solve for x
    x = 1,310,431.68/1,312.76
  6. Step 6: Final answer
    x = 998.23

Related Problems

Find fourth proportional to 656.38, 905.82 and 361.67
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.