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Finding the Fourth Proportional to 1,103.81, 1,663.29 and 913.10

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Solution

The fourth proportional to 1,103.81, 1,663.29 and 913.10 is: 1,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.81 : 1,663.29 = 913.10 : x
  2. Step 2: Convert to fraction form
    1,103.81/1,663.29 = 913.10/x
  3. Step 3: Cross multiply
    1,103.81x = 1,663.29 × 913.10
  4. Step 4: Simplify right side
    1,103.81x = 1,518,741.78
  5. Step 5: Solve for x
    x = 1,518,741.78/1,103.81
  6. Step 6: Final answer
    x = 1,375.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.