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Finding the Fourth Proportional to 929.70, 1,282.92 and 509.97

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Solution

The fourth proportional to 929.70, 1,282.92 and 509.97 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.70 : 1,282.92 = 509.97 : x
  2. Step 2: Convert to fraction form
    929.70/1,282.92 = 509.97/x
  3. Step 3: Cross multiply
    929.70x = 1,282.92 × 509.97
  4. Step 4: Simplify right side
    929.70x = 654,250.71
  5. Step 5: Solve for x
    x = 654,250.71/929.70
  6. Step 6: Final answer
    x = 703.72

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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.