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Finding the Fourth Proportional to 1,132.48, 1,697.24 and 985.60

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Solution

The fourth proportional to 1,132.48, 1,697.24 and 985.60 is: 1,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.48 : 1,697.24 = 985.60 : x
  2. Step 2: Convert to fraction form
    1,132.48/1,697.24 = 985.60/x
  3. Step 3: Cross multiply
    1,132.48x = 1,697.24 × 985.60
  4. Step 4: Simplify right side
    1,132.48x = 1,672,799.74
  5. Step 5: Solve for x
    x = 1,672,799.74/1,132.48
  6. Step 6: Final answer
    x = 1,477.11

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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.