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Finding the Fourth Proportional to 1,132.55, 1,697.65 and 644.55

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Solution

The fourth proportional to 1,132.55, 1,697.65 and 644.55 is: 966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.55 : 1,697.65 = 644.55 : x
  2. Step 2: Convert to fraction form
    1,132.55/1,697.65 = 644.55/x
  3. Step 3: Cross multiply
    1,132.55x = 1,697.65 × 644.55
  4. Step 4: Simplify right side
    1,132.55x = 1,094,220.31
  5. Step 5: Solve for x
    x = 1,094,220.31/1,132.55
  6. Step 6: Final answer
    x = 966.16

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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.