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Finding the Fourth Proportional to 1,013.74, 1,398.90 and 571.63

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Solution

The fourth proportional to 1,013.74, 1,398.90 and 571.63 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.74 : 1,398.90 = 571.63 : x
  2. Step 2: Convert to fraction form
    1,013.74/1,398.90 = 571.63/x
  3. Step 3: Cross multiply
    1,013.74x = 1,398.90 × 571.63
  4. Step 4: Simplify right side
    1,013.74x = 799,653.59
  5. Step 5: Solve for x
    x = 799,653.59/1,013.74
  6. Step 6: Final answer
    x = 788.82

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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.