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Finding the Fourth Proportional to 697.51, 1,044.90 and 542.70

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Solution

The fourth proportional to 697.51, 1,044.90 and 542.70 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.51 : 1,044.90 = 542.70 : x
  2. Step 2: Convert to fraction form
    697.51/1,044.90 = 542.70/x
  3. Step 3: Cross multiply
    697.51x = 1,044.90 × 542.70
  4. Step 4: Simplify right side
    697.51x = 567,067.23
  5. Step 5: Solve for x
    x = 567,067.23/697.51
  6. Step 6: Final answer
    x = 812.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.