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Finding the Fourth Proportional to 1,047.27, 1,566.63 and 697.35

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Solution

The fourth proportional to 1,047.27, 1,566.63 and 697.35 is: 1,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.27 : 1,566.63 = 697.35 : x
  2. Step 2: Convert to fraction form
    1,047.27/1,566.63 = 697.35/x
  3. Step 3: Cross multiply
    1,047.27x = 1,566.63 × 697.35
  4. Step 4: Simplify right side
    1,047.27x = 1,092,489.43
  5. Step 5: Solve for x
    x = 1,092,489.43/1,047.27
  6. Step 6: Final answer
    x = 1,043.18

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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.