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Finding the Fourth Proportional to 700.20, 1,046.26 and 534.72

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Solution

The fourth proportional to 700.20, 1,046.26 and 534.72 is: 798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.20 : 1,046.26 = 534.72 : x
  2. Step 2: Convert to fraction form
    700.20/1,046.26 = 534.72/x
  3. Step 3: Cross multiply
    700.20x = 1,046.26 × 534.72
  4. Step 4: Simplify right side
    700.20x = 559,456.15
  5. Step 5: Solve for x
    x = 559,456.15/700.20
  6. Step 6: Final answer
    x = 798.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.