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Finding the Fourth Proportional to 1,132.04, 1,697.88 and 464.96

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Solution

The fourth proportional to 1,132.04, 1,697.88 and 464.96 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.04 : 1,697.88 = 464.96 : x
  2. Step 2: Convert to fraction form
    1,132.04/1,697.88 = 464.96/x
  3. Step 3: Cross multiply
    1,132.04x = 1,697.88 × 464.96
  4. Step 4: Simplify right side
    1,132.04x = 789,446.28
  5. Step 5: Solve for x
    x = 789,446.28/1,132.04
  6. Step 6: Final answer
    x = 697.37

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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.