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Finding the Fourth Proportional to 1,033.61, 1,426.37 and 567.86

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Solution

The fourth proportional to 1,033.61, 1,426.37 and 567.86 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.61 : 1,426.37 = 567.86 : x
  2. Step 2: Convert to fraction form
    1,033.61/1,426.37 = 567.86/x
  3. Step 3: Cross multiply
    1,033.61x = 1,426.37 × 567.86
  4. Step 4: Simplify right side
    1,033.61x = 809,968.50
  5. Step 5: Solve for x
    x = 809,968.50/1,033.61
  6. Step 6: Final answer
    x = 783.63

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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.