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Finding the Fourth Proportional to 1,095.52, 1,641.65 and 1,068.35

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Solution

The fourth proportional to 1,095.52, 1,641.65 and 1,068.35 is: 1,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.52 : 1,641.65 = 1,068.35 : x
  2. Step 2: Convert to fraction form
    1,095.52/1,641.65 = 1,068.35/x
  3. Step 3: Cross multiply
    1,095.52x = 1,641.65 × 1,068.35
  4. Step 4: Simplify right side
    1,095.52x = 1,753,843.23
  5. Step 5: Solve for x
    x = 1,753,843.23/1,095.52
  6. Step 6: Final answer
    x = 1,600.93

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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.