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Finding the Fourth Proportional to 1,124.79, 1,689.35 and 932.46

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Solution

The fourth proportional to 1,124.79, 1,689.35 and 932.46 is: 1,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.79 : 1,689.35 = 932.46 : x
  2. Step 2: Convert to fraction form
    1,124.79/1,689.35 = 932.46/x
  3. Step 3: Cross multiply
    1,124.79x = 1,689.35 × 932.46
  4. Step 4: Simplify right side
    1,124.79x = 1,575,246.64
  5. Step 5: Solve for x
    x = 1,575,246.64/1,124.79
  6. Step 6: Final answer
    x = 1,400.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.