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Finding the Fourth Proportional to 929.14, 1,282.19 and 515.14

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Solution

The fourth proportional to 929.14, 1,282.19 and 515.14 is: 710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.14 : 1,282.19 = 515.14 : x
  2. Step 2: Convert to fraction form
    929.14/1,282.19 = 515.14/x
  3. Step 3: Cross multiply
    929.14x = 1,282.19 × 515.14
  4. Step 4: Simplify right side
    929.14x = 660,499.66
  5. Step 5: Solve for x
    x = 660,499.66/929.14
  6. Step 6: Final answer
    x = 710.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.