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Finding the Fourth Proportional to 706.91, 1,057.86 and 591.48

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Solution

The fourth proportional to 706.91, 1,057.86 and 591.48 is: 885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.91 : 1,057.86 = 591.48 : x
  2. Step 2: Convert to fraction form
    706.91/1,057.86 = 591.48/x
  3. Step 3: Cross multiply
    706.91x = 1,057.86 × 591.48
  4. Step 4: Simplify right side
    706.91x = 625,703.03
  5. Step 5: Solve for x
    x = 625,703.03/706.91
  6. Step 6: Final answer
    x = 885.13

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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.