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Finding the Fourth Proportional to 1,103.51, 1,655.34 and 641.15

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Solution

The fourth proportional to 1,103.51, 1,655.34 and 641.15 is: 961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.51 : 1,655.34 = 641.15 : x
  2. Step 2: Convert to fraction form
    1,103.51/1,655.34 = 641.15/x
  3. Step 3: Cross multiply
    1,103.51x = 1,655.34 × 641.15
  4. Step 4: Simplify right side
    1,103.51x = 1,061,316.77
  5. Step 5: Solve for x
    x = 1,061,316.77/1,103.51
  6. Step 6: Final answer
    x = 961.77

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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.