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Finding the Fourth Proportional to 1,088.56, 1,632.49 and 357.97

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Solution

The fourth proportional to 1,088.56, 1,632.49 and 357.97 is: 536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.56 : 1,632.49 = 357.97 : x
  2. Step 2: Convert to fraction form
    1,088.56/1,632.49 = 357.97/x
  3. Step 3: Cross multiply
    1,088.56x = 1,632.49 × 357.97
  4. Step 4: Simplify right side
    1,088.56x = 584,374.28
  5. Step 5: Solve for x
    x = 584,374.28/1,088.56
  6. Step 6: Final answer
    x = 536.83

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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.