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Finding the Fourth Proportional to 708.53, 1,061.42 and 351.83

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Solution

The fourth proportional to 708.53, 1,061.42 and 351.83 is: 527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.53 : 1,061.42 = 351.83 : x
  2. Step 2: Convert to fraction form
    708.53/1,061.42 = 351.83/x
  3. Step 3: Cross multiply
    708.53x = 1,061.42 × 351.83
  4. Step 4: Simplify right side
    708.53x = 373,434.99
  5. Step 5: Solve for x
    x = 373,434.99/708.53
  6. Step 6: Final answer
    x = 527.06

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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.