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Finding the Fourth Proportional to 929.54, 1,283.31 and 580.70

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Solution

The fourth proportional to 929.54, 1,283.31 and 580.70 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.54 : 1,283.31 = 580.70 : x
  2. Step 2: Convert to fraction form
    929.54/1,283.31 = 580.70/x
  3. Step 3: Cross multiply
    929.54x = 1,283.31 × 580.70
  4. Step 4: Simplify right side
    929.54x = 745,218.12
  5. Step 5: Solve for x
    x = 745,218.12/929.54
  6. Step 6: Final answer
    x = 801.71

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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.