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Finding the Fourth Proportional to 966.28, 1,333.10 and 592.96

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Solution

The fourth proportional to 966.28, 1,333.10 and 592.96 is: 818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.28 : 1,333.10 = 592.96 : x
  2. Step 2: Convert to fraction form
    966.28/1,333.10 = 592.96/x
  3. Step 3: Cross multiply
    966.28x = 1,333.10 × 592.96
  4. Step 4: Simplify right side
    966.28x = 790,465.35
  5. Step 5: Solve for x
    x = 790,465.35/966.28
  6. Step 6: Final answer
    x = 818.05

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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.