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Finding the Fourth Proportional to 1,132.37, 1,697.48 and 611.58

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Solution

The fourth proportional to 1,132.37, 1,697.48 and 611.58 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.37 : 1,697.48 = 611.58 : x
  2. Step 2: Convert to fraction form
    1,132.37/1,697.48 = 611.58/x
  3. Step 3: Cross multiply
    1,132.37x = 1,697.48 × 611.58
  4. Step 4: Simplify right side
    1,132.37x = 1,038,141.76
  5. Step 5: Solve for x
    x = 1,038,141.76/1,132.37
  6. Step 6: Final answer
    x = 916.79

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