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Finding the Fourth Proportional to 1,295.47, 1,943.45 and 418.20

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Solution

The fourth proportional to 1,295.47, 1,943.45 and 418.20 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.47 : 1,943.45 = 418.20 : x
  2. Step 2: Convert to fraction form
    1,295.47/1,943.45 = 418.20/x
  3. Step 3: Cross multiply
    1,295.47x = 1,943.45 × 418.20
  4. Step 4: Simplify right side
    1,295.47x = 812,750.79
  5. Step 5: Solve for x
    x = 812,750.79/1,295.47
  6. Step 6: Final answer
    x = 627.38

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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.