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Finding the Fourth Proportional to 1,133.10, 1,707.37 and 932.18

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Solution

The fourth proportional to 1,133.10, 1,707.37 and 932.18 is: 1,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.10 : 1,707.37 = 932.18 : x
  2. Step 2: Convert to fraction form
    1,133.10/1,707.37 = 932.18/x
  3. Step 3: Cross multiply
    1,133.10x = 1,707.37 × 932.18
  4. Step 4: Simplify right side
    1,133.10x = 1,591,565.30
  5. Step 5: Solve for x
    x = 1,591,565.30/1,133.10
  6. Step 6: Final answer
    x = 1,404.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.