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Finding the Fourth Proportional to 1,105.13, 1,655.46 and 921.93

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Solution

The fourth proportional to 1,105.13, 1,655.46 and 921.93 is: 1,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.13 : 1,655.46 = 921.93 : x
  2. Step 2: Convert to fraction form
    1,105.13/1,655.46 = 921.93/x
  3. Step 3: Cross multiply
    1,105.13x = 1,655.46 × 921.93
  4. Step 4: Simplify right side
    1,105.13x = 1,526,218.24
  5. Step 5: Solve for x
    x = 1,526,218.24/1,105.13
  6. Step 6: Final answer
    x = 1,381.03

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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.