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Finding the Fourth Proportional to 1,095.15, 1,641.65 and 848.91

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Solution

The fourth proportional to 1,095.15, 1,641.65 and 848.91 is: 1,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.15 : 1,641.65 = 848.91 : x
  2. Step 2: Convert to fraction form
    1,095.15/1,641.65 = 848.91/x
  3. Step 3: Cross multiply
    1,095.15x = 1,641.65 × 848.91
  4. Step 4: Simplify right side
    1,095.15x = 1,393,608.86
  5. Step 5: Solve for x
    x = 1,393,608.86/1,095.15
  6. Step 6: Final answer
    x = 1,272.53

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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.