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Finding the Fourth Proportional to 1,100.71, 1,518.76 and 746.91

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Solution

The fourth proportional to 1,100.71, 1,518.76 and 746.91 is: 1,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.71 : 1,518.76 = 746.91 : x
  2. Step 2: Convert to fraction form
    1,100.71/1,518.76 = 746.91/x
  3. Step 3: Cross multiply
    1,100.71x = 1,518.76 × 746.91
  4. Step 4: Simplify right side
    1,100.71x = 1,134,377.03
  5. Step 5: Solve for x
    x = 1,134,377.03/1,100.71
  6. Step 6: Final answer
    x = 1,030.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.