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Finding the Fourth Proportional to 1,132.86, 1,708.71 and 997.59

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Solution

The fourth proportional to 1,132.86, 1,708.71 and 997.59 is: 1,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.86 : 1,708.71 = 997.59 : x
  2. Step 2: Convert to fraction form
    1,132.86/1,708.71 = 997.59/x
  3. Step 3: Cross multiply
    1,132.86x = 1,708.71 × 997.59
  4. Step 4: Simplify right side
    1,132.86x = 1,704,592.01
  5. Step 5: Solve for x
    x = 1,704,592.01/1,132.86
  6. Step 6: Final answer
    x = 1,504.68

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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.