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Finding the Fourth Proportional to 1,513.49, 2,269.82 and 417.56

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Solution

The fourth proportional to 1,513.49, 2,269.82 and 417.56 is: 626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.49 : 2,269.82 = 417.56 : x
  2. Step 2: Convert to fraction form
    1,513.49/2,269.82 = 417.56/x
  3. Step 3: Cross multiply
    1,513.49x = 2,269.82 × 417.56
  4. Step 4: Simplify right side
    1,513.49x = 947,775.73
  5. Step 5: Solve for x
    x = 947,775.73/1,513.49
  6. Step 6: Final answer
    x = 626.22

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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.