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Finding the Fourth Proportional to 1,014.95, 1,400.63 and 549.20

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Solution

The fourth proportional to 1,014.95, 1,400.63 and 549.20 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.95 : 1,400.63 = 549.20 : x
  2. Step 2: Convert to fraction form
    1,014.95/1,400.63 = 549.20/x
  3. Step 3: Cross multiply
    1,014.95x = 1,400.63 × 549.20
  4. Step 4: Simplify right side
    1,014.95x = 769,216.25
  5. Step 5: Solve for x
    x = 769,216.25/1,014.95
  6. Step 6: Final answer
    x = 757.89

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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.