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Finding the Fourth Proportional to 681.55, 1,017.50 and 584.08

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Solution

The fourth proportional to 681.55, 1,017.50 and 584.08 is: 871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 1,017.50 = 584.08 : x
  2. Step 2: Convert to fraction form
    681.55/1,017.50 = 584.08/x
  3. Step 3: Cross multiply
    681.55x = 1,017.50 × 584.08
  4. Step 4: Simplify right side
    681.55x = 594,295.94
  5. Step 5: Solve for x
    x = 594,295.94/681.55
  6. Step 6: Final answer
    x = 871.98

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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.