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Finding the Fourth Proportional to 700.56, 966.33 and 534.42

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Solution

The fourth proportional to 700.56, 966.33 and 534.42 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 966.33 = 534.42 : x
  2. Step 2: Convert to fraction form
    700.56/966.33 = 534.42/x
  3. Step 3: Cross multiply
    700.56x = 966.33 × 534.42
  4. Step 4: Simplify right side
    700.56x = 516,426.08
  5. Step 5: Solve for x
    x = 516,426.08/700.56
  6. Step 6: Final answer
    x = 737.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.