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Finding the Fourth Proportional to 1,013.65, 1,398.74 and 571.52

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Solution

The fourth proportional to 1,013.65, 1,398.74 and 571.52 is: 788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.65 : 1,398.74 = 571.52 : x
  2. Step 2: Convert to fraction form
    1,013.65/1,398.74 = 571.52/x
  3. Step 3: Cross multiply
    1,013.65x = 1,398.74 × 571.52
  4. Step 4: Simplify right side
    1,013.65x = 799,408.52
  5. Step 5: Solve for x
    x = 799,408.52/1,013.65
  6. Step 6: Final answer
    x = 788.65

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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.