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Finding the Fourth Proportional to 677.52, 1,017.48 and 504.24

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Solution

The fourth proportional to 677.52, 1,017.48 and 504.24 is: 757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 1,017.48 = 504.24 : x
  2. Step 2: Convert to fraction form
    677.52/1,017.48 = 504.24/x
  3. Step 3: Cross multiply
    677.52x = 1,017.48 × 504.24
  4. Step 4: Simplify right side
    677.52x = 513,054.12
  5. Step 5: Solve for x
    x = 513,054.12/677.52
  6. Step 6: Final answer
    x = 757.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.