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Finding the Fourth Proportional to 966.57, 1,333.70 and 568.35

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Solution

The fourth proportional to 966.57, 1,333.70 and 568.35 is: 784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.57 : 1,333.70 = 568.35 : x
  2. Step 2: Convert to fraction form
    966.57/1,333.70 = 568.35/x
  3. Step 3: Cross multiply
    966.57x = 1,333.70 × 568.35
  4. Step 4: Simplify right side
    966.57x = 758,007.68
  5. Step 5: Solve for x
    x = 758,007.68/966.57
  6. Step 6: Final answer
    x = 784.23

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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.