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Finding the Fourth Proportional to 706.15, 1,057.13 and 524.35

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Solution

The fourth proportional to 706.15, 1,057.13 and 524.35 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.15 : 1,057.13 = 524.35 : x
  2. Step 2: Convert to fraction form
    706.15/1,057.13 = 524.35/x
  3. Step 3: Cross multiply
    706.15x = 1,057.13 × 524.35
  4. Step 4: Simplify right side
    706.15x = 554,306.12
  5. Step 5: Solve for x
    x = 554,306.12/706.15
  6. Step 6: Final answer
    x = 784.97

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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.