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Finding the Fourth Proportional to 1,630.39, 2,445.54 and 476.14

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Solution

The fourth proportional to 1,630.39, 2,445.54 and 476.14 is: 714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.39 : 2,445.54 = 476.14 : x
  2. Step 2: Convert to fraction form
    1,630.39/2,445.54 = 476.14/x
  3. Step 3: Cross multiply
    1,630.39x = 2,445.54 × 476.14
  4. Step 4: Simplify right side
    1,630.39x = 1,164,419.42
  5. Step 5: Solve for x
    x = 1,164,419.42/1,630.39
  6. Step 6: Final answer
    x = 714.20

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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.