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Finding the Fourth Proportional to 1,095.84, 1,641.87 and 821.52

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Solution

The fourth proportional to 1,095.84, 1,641.87 and 821.52 is: 1,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.84 : 1,641.87 = 821.52 : x
  2. Step 2: Convert to fraction form
    1,095.84/1,641.87 = 821.52/x
  3. Step 3: Cross multiply
    1,095.84x = 1,641.87 × 821.52
  4. Step 4: Simplify right side
    1,095.84x = 1,348,829.04
  5. Step 5: Solve for x
    x = 1,348,829.04/1,095.84
  6. Step 6: Final answer
    x = 1,230.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.