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Finding the Fourth Proportional to 1,013.03, 1,398.05 and 571.02

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Solution

The fourth proportional to 1,013.03, 1,398.05 and 571.02 is: 788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.03 : 1,398.05 = 571.02 : x
  2. Step 2: Convert to fraction form
    1,013.03/1,398.05 = 571.02/x
  3. Step 3: Cross multiply
    1,013.03x = 1,398.05 × 571.02
  4. Step 4: Simplify right side
    1,013.03x = 798,311.66
  5. Step 5: Solve for x
    x = 798,311.66/1,013.03
  6. Step 6: Final answer
    x = 788.05

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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.