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Finding the Fourth Proportional to 929.71, 1,283.04 and 515.79

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Solution

The fourth proportional to 929.71, 1,283.04 and 515.79 is: 711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.71 : 1,283.04 = 515.79 : x
  2. Step 2: Convert to fraction form
    929.71/1,283.04 = 515.79/x
  3. Step 3: Cross multiply
    929.71x = 1,283.04 × 515.79
  4. Step 4: Simplify right side
    929.71x = 661,776.62
  5. Step 5: Solve for x
    x = 661,776.62/929.71
  6. Step 6: Final answer
    x = 711.81

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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.