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Finding the Fourth Proportional to 966.37, 1,333.13 and 567.90

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Solution

The fourth proportional to 966.37, 1,333.13 and 567.90 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.37 : 1,333.13 = 567.90 : x
  2. Step 2: Convert to fraction form
    966.37/1,333.13 = 567.90/x
  3. Step 3: Cross multiply
    966.37x = 1,333.13 × 567.90
  4. Step 4: Simplify right side
    966.37x = 757,077.86
  5. Step 5: Solve for x
    x = 757,077.86/966.37
  6. Step 6: Final answer
    x = 783.43

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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.