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Finding the Fourth Proportional to 708.62, 1,065.02 and 466.70

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Solution

The fourth proportional to 708.62, 1,065.02 and 466.70 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.62 : 1,065.02 = 466.70 : x
  2. Step 2: Convert to fraction form
    708.62/1,065.02 = 466.70/x
  3. Step 3: Cross multiply
    708.62x = 1,065.02 × 466.70
  4. Step 4: Simplify right side
    708.62x = 497,037.18
  5. Step 5: Solve for x
    x = 497,037.18/708.62
  6. Step 6: Final answer
    x = 701.42

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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.