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Finding the Fourth Proportional to 1,109.30, 1,656.05 and 1,035.18

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Solution

The fourth proportional to 1,109.30, 1,656.05 and 1,035.18 is: 1,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.30 : 1,656.05 = 1,035.18 : x
  2. Step 2: Convert to fraction form
    1,109.30/1,656.05 = 1,035.18/x
  3. Step 3: Cross multiply
    1,109.30x = 1,656.05 × 1,035.18
  4. Step 4: Simplify right side
    1,109.30x = 1,714,304.66
  5. Step 5: Solve for x
    x = 1,714,304.66/1,109.30
  6. Step 6: Final answer
    x = 1,545.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.