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Finding the Fourth Proportional to 1,248.48, 1,872.95 and 518.11

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Solution

The fourth proportional to 1,248.48, 1,872.95 and 518.11 is: 777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.48 : 1,872.95 = 518.11 : x
  2. Step 2: Convert to fraction form
    1,248.48/1,872.95 = 518.11/x
  3. Step 3: Cross multiply
    1,248.48x = 1,872.95 × 518.11
  4. Step 4: Simplify right side
    1,248.48x = 970,386.85
  5. Step 5: Solve for x
    x = 970,386.85/1,248.48
  6. Step 6: Final answer
    x = 777.25

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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.