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Finding the Fourth Proportional to 1,105.04, 1,655.13 and 738.11

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Solution

The fourth proportional to 1,105.04, 1,655.13 and 738.11 is: 1,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.04 : 1,655.13 = 738.11 : x
  2. Step 2: Convert to fraction form
    1,105.04/1,655.13 = 738.11/x
  3. Step 3: Cross multiply
    1,105.04x = 1,655.13 × 738.11
  4. Step 4: Simplify right side
    1,105.04x = 1,221,668.00
  5. Step 5: Solve for x
    x = 1,221,668.00/1,105.04
  6. Step 6: Final answer
    x = 1,105.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.