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Finding the Fourth Proportional to 962.57, 1,441.42 and 474.34

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Solution

The fourth proportional to 962.57, 1,441.42 and 474.34 is: 710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.57 : 1,441.42 = 474.34 : x
  2. Step 2: Convert to fraction form
    962.57/1,441.42 = 474.34/x
  3. Step 3: Cross multiply
    962.57x = 1,441.42 × 474.34
  4. Step 4: Simplify right side
    962.57x = 683,723.16
  5. Step 5: Solve for x
    x = 683,723.16/962.57
  6. Step 6: Final answer
    x = 710.31

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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.