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Finding the Fourth Proportional to 1,013.78, 1,399.29 and 594.20

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Solution

The fourth proportional to 1,013.78, 1,399.29 and 594.20 is: 820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.78 : 1,399.29 = 594.20 : x
  2. Step 2: Convert to fraction form
    1,013.78/1,399.29 = 594.20/x
  3. Step 3: Cross multiply
    1,013.78x = 1,399.29 × 594.20
  4. Step 4: Simplify right side
    1,013.78x = 831,458.12
  5. Step 5: Solve for x
    x = 831,458.12/1,013.78
  6. Step 6: Final answer
    x = 820.16

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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.