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Finding the Fourth Proportional to 1,132.59, 1,562.55 and 690.33

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Solution

The fourth proportional to 1,132.59, 1,562.55 and 690.33 is: 952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.59 : 1,562.55 = 690.33 : x
  2. Step 2: Convert to fraction form
    1,132.59/1,562.55 = 690.33/x
  3. Step 3: Cross multiply
    1,132.59x = 1,562.55 × 690.33
  4. Step 4: Simplify right side
    1,132.59x = 1,078,675.14
  5. Step 5: Solve for x
    x = 1,078,675.14/1,132.59
  6. Step 6: Final answer
    x = 952.40

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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.