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Finding the Fourth Proportional to 966.19, 1,448.90 and 341.45

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Solution

The fourth proportional to 966.19, 1,448.90 and 341.45 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.19 : 1,448.90 = 341.45 : x
  2. Step 2: Convert to fraction form
    966.19/1,448.90 = 341.45/x
  3. Step 3: Cross multiply
    966.19x = 1,448.90 × 341.45
  4. Step 4: Simplify right side
    966.19x = 494,726.91
  5. Step 5: Solve for x
    x = 494,726.91/966.19
  6. Step 6: Final answer
    x = 512.04

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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.