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Finding the Fourth Proportional to 708.47, 1,061.83 and 514.14

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Solution

The fourth proportional to 708.47, 1,061.83 and 514.14 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.47 : 1,061.83 = 514.14 : x
  2. Step 2: Convert to fraction form
    708.47/1,061.83 = 514.14/x
  3. Step 3: Cross multiply
    708.47x = 1,061.83 × 514.14
  4. Step 4: Simplify right side
    708.47x = 545,929.28
  5. Step 5: Solve for x
    x = 545,929.28/708.47
  6. Step 6: Final answer
    x = 770.58

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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.