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Finding the Fourth Proportional to 1,095.69, 1,641.12 and 788.15

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Solution

The fourth proportional to 1,095.69, 1,641.12 and 788.15 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.69 : 1,641.12 = 788.15 : x
  2. Step 2: Convert to fraction form
    1,095.69/1,641.12 = 788.15/x
  3. Step 3: Cross multiply
    1,095.69x = 1,641.12 × 788.15
  4. Step 4: Simplify right side
    1,095.69x = 1,293,440.52
  5. Step 5: Solve for x
    x = 1,293,440.52/1,095.69
  6. Step 6: Final answer
    x = 1,180.48

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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.