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Finding the Fourth Proportional to 710.68, 1,065.24 and 463.57

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Solution

The fourth proportional to 710.68, 1,065.24 and 463.57 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.68 : 1,065.24 = 463.57 : x
  2. Step 2: Convert to fraction form
    710.68/1,065.24 = 463.57/x
  3. Step 3: Cross multiply
    710.68x = 1,065.24 × 463.57
  4. Step 4: Simplify right side
    710.68x = 493,813.31
  5. Step 5: Solve for x
    x = 493,813.31/710.68
  6. Step 6: Final answer
    x = 694.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.