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Finding the Fourth Proportional to 1,312.66, 1,811.44 and 723.19

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Solution

The fourth proportional to 1,312.66, 1,811.44 and 723.19 is: 997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.66 : 1,811.44 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,312.66/1,811.44 = 723.19/x
  3. Step 3: Cross multiply
    1,312.66x = 1,811.44 × 723.19
  4. Step 4: Simplify right side
    1,312.66x = 1,310,015.29
  5. Step 5: Solve for x
    x = 1,310,015.29/1,312.66
  6. Step 6: Final answer
    x = 997.99

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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.