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Finding the Fourth Proportional to 706.46, 1,058.88 and 432.14

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Solution

The fourth proportional to 706.46, 1,058.88 and 432.14 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,058.88 = 432.14 : x
  2. Step 2: Convert to fraction form
    706.46/1,058.88 = 432.14/x
  3. Step 3: Cross multiply
    706.46x = 1,058.88 × 432.14
  4. Step 4: Simplify right side
    706.46x = 457,584.40
  5. Step 5: Solve for x
    x = 457,584.40/706.46
  6. Step 6: Final answer
    x = 647.71

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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.