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Finding the Fourth Proportional to 1,298.55, 1,948.03 and 518.55

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Solution

The fourth proportional to 1,298.55, 1,948.03 and 518.55 is: 777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.55 : 1,948.03 = 518.55 : x
  2. Step 2: Convert to fraction form
    1,298.55/1,948.03 = 518.55/x
  3. Step 3: Cross multiply
    1,298.55x = 1,948.03 × 518.55
  4. Step 4: Simplify right side
    1,298.55x = 1,010,138.62
  5. Step 5: Solve for x
    x = 1,010,138.62/1,298.55
  6. Step 6: Final answer
    x = 777.90

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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.