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Finding the Fourth Proportional to 1,095.25, 1,641.16 and 633.25

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Solution

The fourth proportional to 1,095.25, 1,641.16 and 633.25 is: 948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.25 : 1,641.16 = 633.25 : x
  2. Step 2: Convert to fraction form
    1,095.25/1,641.16 = 633.25/x
  3. Step 3: Cross multiply
    1,095.25x = 1,641.16 × 633.25
  4. Step 4: Simplify right side
    1,095.25x = 1,039,253.20
  5. Step 5: Solve for x
    x = 1,039,253.20/1,095.25
  6. Step 6: Final answer
    x = 948.87

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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.