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Finding the Fourth Proportional to 1,019.78, 1,529.78 and 370.44

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Solution

The fourth proportional to 1,019.78, 1,529.78 and 370.44 is: 555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.78 : 1,529.78 = 370.44 : x
  2. Step 2: Convert to fraction form
    1,019.78/1,529.78 = 370.44/x
  3. Step 3: Cross multiply
    1,019.78x = 1,529.78 × 370.44
  4. Step 4: Simplify right side
    1,019.78x = 566,691.70
  5. Step 5: Solve for x
    x = 566,691.70/1,019.78
  6. Step 6: Final answer
    x = 555.70

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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.