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Finding the Fourth Proportional to 929.92, 1,283.17 and 556.83

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Solution

The fourth proportional to 929.92, 1,283.17 and 556.83 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.92 : 1,283.17 = 556.83 : x
  2. Step 2: Convert to fraction form
    929.92/1,283.17 = 556.83/x
  3. Step 3: Cross multiply
    929.92x = 1,283.17 × 556.83
  4. Step 4: Simplify right side
    929.92x = 714,507.55
  5. Step 5: Solve for x
    x = 714,507.55/929.92
  6. Step 6: Final answer
    x = 768.35

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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.