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Finding the Fourth Proportional to 1,341.78, 2,012.87 and 417.41

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Solution

The fourth proportional to 1,341.78, 2,012.87 and 417.41 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.78 : 2,012.87 = 417.41 : x
  2. Step 2: Convert to fraction form
    1,341.78/2,012.87 = 417.41/x
  3. Step 3: Cross multiply
    1,341.78x = 2,012.87 × 417.41
  4. Step 4: Simplify right side
    1,341.78x = 840,192.07
  5. Step 5: Solve for x
    x = 840,192.07/1,341.78
  6. Step 6: Final answer
    x = 626.18

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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.