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Finding the Fourth Proportional to 1,089.51, 1,635.01 and 542.08

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Solution

The fourth proportional to 1,089.51, 1,635.01 and 542.08 is: 813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.51 : 1,635.01 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,089.51/1,635.01 = 542.08/x
  3. Step 3: Cross multiply
    1,089.51x = 1,635.01 × 542.08
  4. Step 4: Simplify right side
    1,089.51x = 886,306.13
  5. Step 5: Solve for x
    x = 886,306.13/1,089.51
  6. Step 6: Final answer
    x = 813.49

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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.