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Finding the Fourth Proportional to 1,513.71, 2,270.28 and 417.80

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Solution

The fourth proportional to 1,513.71, 2,270.28 and 417.80 is: 626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.71 : 2,270.28 = 417.80 : x
  2. Step 2: Convert to fraction form
    1,513.71/2,270.28 = 417.80/x
  3. Step 3: Cross multiply
    1,513.71x = 2,270.28 × 417.80
  4. Step 4: Simplify right side
    1,513.71x = 948,521.71
  5. Step 5: Solve for x
    x = 948,521.71/1,513.71
  6. Step 6: Final answer
    x = 626.62

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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.