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Finding the Fourth Proportional to 633.60, 947.52 and 543.42

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Solution

The fourth proportional to 633.60, 947.52 and 543.42 is: 812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 947.52 = 543.42 : x
  2. Step 2: Convert to fraction form
    633.60/947.52 = 543.42/x
  3. Step 3: Cross multiply
    633.60x = 947.52 × 543.42
  4. Step 4: Simplify right side
    633.60x = 514,901.32
  5. Step 5: Solve for x
    x = 514,901.32/633.60
  6. Step 6: Final answer
    x = 812.66

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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.