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Finding the Fourth Proportional to 1,132.90, 1,562.52 and 975.79

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Solution

The fourth proportional to 1,132.90, 1,562.52 and 975.79 is: 1,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.90 : 1,562.52 = 975.79 : x
  2. Step 2: Convert to fraction form
    1,132.90/1,562.52 = 975.79/x
  3. Step 3: Cross multiply
    1,132.90x = 1,562.52 × 975.79
  4. Step 4: Simplify right side
    1,132.90x = 1,524,691.39
  5. Step 5: Solve for x
    x = 1,524,691.39/1,132.90
  6. Step 6: Final answer
    x = 1,345.83

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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.