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Finding the Fourth Proportional to 1,013.30, 1,398.35 and 547.55

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Solution

The fourth proportional to 1,013.30, 1,398.35 and 547.55 is: 755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.30 : 1,398.35 = 547.55 : x
  2. Step 2: Convert to fraction form
    1,013.30/1,398.35 = 547.55/x
  3. Step 3: Cross multiply
    1,013.30x = 1,398.35 × 547.55
  4. Step 4: Simplify right side
    1,013.30x = 765,664.11
  5. Step 5: Solve for x
    x = 765,664.11/1,013.30
  6. Step 6: Final answer
    x = 755.62

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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.