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Finding the Fourth Proportional to 1,013.80, 1,398.93 and 571.69

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Solution

The fourth proportional to 1,013.80, 1,398.93 and 571.69 is: 788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.80 : 1,398.93 = 571.69 : x
  2. Step 2: Convert to fraction form
    1,013.80/1,398.93 = 571.69/x
  3. Step 3: Cross multiply
    1,013.80x = 1,398.93 × 571.69
  4. Step 4: Simplify right side
    1,013.80x = 799,754.29
  5. Step 5: Solve for x
    x = 799,754.29/1,013.80
  6. Step 6: Final answer
    x = 788.87

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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.