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Finding the Fourth Proportional to 1,088.07, 1,632.29 and 540.27

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Solution

The fourth proportional to 1,088.07, 1,632.29 and 540.27 is: 810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.07 : 1,632.29 = 540.27 : x
  2. Step 2: Convert to fraction form
    1,088.07/1,632.29 = 540.27/x
  3. Step 3: Cross multiply
    1,088.07x = 1,632.29 × 540.27
  4. Step 4: Simplify right side
    1,088.07x = 881,874.62
  5. Step 5: Solve for x
    x = 881,874.62/1,088.07
  6. Step 6: Final answer
    x = 810.49

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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.