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Finding the Fourth Proportional to 1,014.61, 1,400.16 and 548.86

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Solution

The fourth proportional to 1,014.61, 1,400.16 and 548.86 is: 757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.61 : 1,400.16 = 548.86 : x
  2. Step 2: Convert to fraction form
    1,014.61/1,400.16 = 548.86/x
  3. Step 3: Cross multiply
    1,014.61x = 1,400.16 × 548.86
  4. Step 4: Simplify right side
    1,014.61x = 768,491.46
  5. Step 5: Solve for x
    x = 768,491.46/1,014.61
  6. Step 6: Final answer
    x = 757.43

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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.