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Finding the Fourth Proportional to 766.30, 1,057.40 and 518.16

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Solution

The fourth proportional to 766.30, 1,057.40 and 518.16 is: 715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.30 : 1,057.40 = 518.16 : x
  2. Step 2: Convert to fraction form
    766.30/1,057.40 = 518.16/x
  3. Step 3: Cross multiply
    766.30x = 1,057.40 × 518.16
  4. Step 4: Simplify right side
    766.30x = 547,902.38
  5. Step 5: Solve for x
    x = 547,902.38/766.30
  6. Step 6: Final answer
    x = 715.00

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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.