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Finding the Fourth Proportional to 1,014.52, 1,400.03 and 548.77

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Solution

The fourth proportional to 1,014.52, 1,400.03 and 548.77 is: 757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.52 : 1,400.03 = 548.77 : x
  2. Step 2: Convert to fraction form
    1,014.52/1,400.03 = 548.77/x
  3. Step 3: Cross multiply
    1,014.52x = 1,400.03 × 548.77
  4. Step 4: Simplify right side
    1,014.52x = 768,290.74
  5. Step 5: Solve for x
    x = 768,290.74/1,014.52
  6. Step 6: Final answer
    x = 757.30

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Why These Related Problems?

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