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Finding the Fourth Proportional to 1,033.29, 1,549.54 and 416.78

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Solution

The fourth proportional to 1,033.29, 1,549.54 and 416.78 is: 625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.29 : 1,549.54 = 416.78 : x
  2. Step 2: Convert to fraction form
    1,033.29/1,549.54 = 416.78/x
  3. Step 3: Cross multiply
    1,033.29x = 1,549.54 × 416.78
  4. Step 4: Simplify right side
    1,033.29x = 645,817.28
  5. Step 5: Solve for x
    x = 645,817.28/1,033.29
  6. Step 6: Final answer
    x = 625.01

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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.