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Finding the Fourth Proportional to 700.58, 966.29 and 534.39

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Solution

The fourth proportional to 700.58, 966.29 and 534.39 is: 737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.58 : 966.29 = 534.39 : x
  2. Step 2: Convert to fraction form
    700.58/966.29 = 534.39/x
  3. Step 3: Cross multiply
    700.58x = 966.29 × 534.39
  4. Step 4: Simplify right side
    700.58x = 516,373.04
  5. Step 5: Solve for x
    x = 516,373.04/700.58
  6. Step 6: Final answer
    x = 737.07

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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.