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Finding the Fourth Proportional to 966.24, 1,333.41 and 524.14

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Solution

The fourth proportional to 966.24, 1,333.41 and 524.14 is: 723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.24 : 1,333.41 = 524.14 : x
  2. Step 2: Convert to fraction form
    966.24/1,333.41 = 524.14/x
  3. Step 3: Cross multiply
    966.24x = 1,333.41 × 524.14
  4. Step 4: Simplify right side
    966.24x = 698,893.52
  5. Step 5: Solve for x
    x = 698,893.52/966.24
  6. Step 6: Final answer
    x = 723.31

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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.