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Finding the Fourth Proportional to 1,088.52, 1,501.92 and 793.95

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Solution

The fourth proportional to 1,088.52, 1,501.92 and 793.95 is: 1,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.52 : 1,501.92 = 793.95 : x
  2. Step 2: Convert to fraction form
    1,088.52/1,501.92 = 793.95/x
  3. Step 3: Cross multiply
    1,088.52x = 1,501.92 × 793.95
  4. Step 4: Simplify right side
    1,088.52x = 1,192,449.38
  5. Step 5: Solve for x
    x = 1,192,449.38/1,088.52
  6. Step 6: Final answer
    x = 1,095.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.