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Finding the Fourth Proportional to 1,217.50, 1,679.58 and 745.24

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Solution

The fourth proportional to 1,217.50, 1,679.58 and 745.24 is: 1,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.50 : 1,679.58 = 745.24 : x
  2. Step 2: Convert to fraction form
    1,217.50/1,679.58 = 745.24/x
  3. Step 3: Cross multiply
    1,217.50x = 1,679.58 × 745.24
  4. Step 4: Simplify right side
    1,217.50x = 1,251,690.20
  5. Step 5: Solve for x
    x = 1,251,690.20/1,217.50
  6. Step 6: Final answer
    x = 1,028.08

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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.