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Finding the Fourth Proportional to 709.53, 966.02 and 707.33

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Solution

The fourth proportional to 709.53, 966.02 and 707.33 is: 963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 966.02 = 707.33 : x
  2. Step 2: Convert to fraction form
    709.53/966.02 = 707.33/x
  3. Step 3: Cross multiply
    709.53x = 966.02 × 707.33
  4. Step 4: Simplify right side
    709.53x = 683,291.39
  5. Step 5: Solve for x
    x = 683,291.39/709.53
  6. Step 6: Final answer
    x = 963.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.