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Finding the Fourth Proportional to 966.78, 1,450.17 and 534.78

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Solution

The fourth proportional to 966.78, 1,450.17 and 534.78 is: 802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,450.17 = 534.78 : x
  2. Step 2: Convert to fraction form
    966.78/1,450.17 = 534.78/x
  3. Step 3: Cross multiply
    966.78x = 1,450.17 × 534.78
  4. Step 4: Simplify right side
    966.78x = 775,521.91
  5. Step 5: Solve for x
    x = 775,521.91/966.78
  6. Step 6: Final answer
    x = 802.17

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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.