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Finding the Fourth Proportional to 1,009.41, 1,392.98 and 567.31

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Solution

The fourth proportional to 1,009.41, 1,392.98 and 567.31 is: 782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.41 : 1,392.98 = 567.31 : x
  2. Step 2: Convert to fraction form
    1,009.41/1,392.98 = 567.31/x
  3. Step 3: Cross multiply
    1,009.41x = 1,392.98 × 567.31
  4. Step 4: Simplify right side
    1,009.41x = 790,251.48
  5. Step 5: Solve for x
    x = 790,251.48/1,009.41
  6. Step 6: Final answer
    x = 782.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.