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Finding the Fourth Proportional to 1,132.32, 1,697.16 and 482.44

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Solution

The fourth proportional to 1,132.32, 1,697.16 and 482.44 is: 723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,697.16 = 482.44 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,697.16 = 482.44/x
  3. Step 3: Cross multiply
    1,132.32x = 1,697.16 × 482.44
  4. Step 4: Simplify right side
    1,132.32x = 818,777.87
  5. Step 5: Solve for x
    x = 818,777.87/1,132.32
  6. Step 6: Final answer
    x = 723.10

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Why These Related Problems?

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