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Finding the Fourth Proportional to 1,346.23, 1,857.64 and 786.84

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Solution

The fourth proportional to 1,346.23, 1,857.64 and 786.84 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.23 : 1,857.64 = 786.84 : x
  2. Step 2: Convert to fraction form
    1,346.23/1,857.64 = 786.84/x
  3. Step 3: Cross multiply
    1,346.23x = 1,857.64 × 786.84
  4. Step 4: Simplify right side
    1,346.23x = 1,461,665.46
  5. Step 5: Solve for x
    x = 1,461,665.46/1,346.23
  6. Step 6: Final answer
    x = 1,085.75

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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.