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Finding the Fourth Proportional to 861, 1,188.24 and 507

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Solution

The fourth proportional to 861, 1,188.24 and 507 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 1,188.24 = 507 : x
  2. Step 2: Convert to fraction form
    861/1,188.24 = 507/x
  3. Step 3: Cross multiply
    861x = 1,188.24 × 507
  4. Step 4: Simplify right side
    861x = 602,437.68
  5. Step 5: Solve for x
    x = 602,437.68/861
  6. Step 6: Final answer
    x = 699.70

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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.