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Finding the Fourth Proportional to 1,013.67, 1,398.24 and 664.35

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Solution

The fourth proportional to 1,013.67, 1,398.24 and 664.35 is: 916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.67 : 1,398.24 = 664.35 : x
  2. Step 2: Convert to fraction form
    1,013.67/1,398.24 = 664.35/x
  3. Step 3: Cross multiply
    1,013.67x = 1,398.24 × 664.35
  4. Step 4: Simplify right side
    1,013.67x = 928,920.74
  5. Step 5: Solve for x
    x = 928,920.74/1,013.67
  6. Step 6: Final answer
    x = 916.39

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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.