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Finding the Fourth Proportional to 1,013.39, 1,398.47 and 547.64

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Solution

The fourth proportional to 1,013.39, 1,398.47 and 547.64 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.39 : 1,398.47 = 547.64 : x
  2. Step 2: Convert to fraction form
    1,013.39/1,398.47 = 547.64/x
  3. Step 3: Cross multiply
    1,013.39x = 1,398.47 × 547.64
  4. Step 4: Simplify right side
    1,013.39x = 765,851.12
  5. Step 5: Solve for x
    x = 765,851.12/1,013.39
  6. Step 6: Final answer
    x = 755.74

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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.