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Finding the Fourth Proportional to 929.74, 1,283.00 and 531.39

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Solution

The fourth proportional to 929.74, 1,283.00 and 531.39 is: 733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.74 : 1,283.00 = 531.39 : x
  2. Step 2: Convert to fraction form
    929.74/1,283.00 = 531.39/x
  3. Step 3: Cross multiply
    929.74x = 1,283.00 × 531.39
  4. Step 4: Simplify right side
    929.74x = 681,770.71
  5. Step 5: Solve for x
    x = 681,770.71/929.74
  6. Step 6: Final answer
    x = 733.29

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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.