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Finding the Fourth Proportional to 708.06, 1,061.90 and 317.84

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Solution

The fourth proportional to 708.06, 1,061.90 and 317.84 is: 476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 1,061.90 = 317.84 : x
  2. Step 2: Convert to fraction form
    708.06/1,061.90 = 317.84/x
  3. Step 3: Cross multiply
    708.06x = 1,061.90 × 317.84
  4. Step 4: Simplify right side
    708.06x = 337,515.46
  5. Step 5: Solve for x
    x = 337,515.46/708.06
  6. Step 6: Final answer
    x = 476.68

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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.