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Finding the Fourth Proportional to 1,033.45, 1,549.77 and 417.25

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Solution

The fourth proportional to 1,033.45, 1,549.77 and 417.25 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.45 : 1,549.77 = 417.25 : x
  2. Step 2: Convert to fraction form
    1,033.45/1,549.77 = 417.25/x
  3. Step 3: Cross multiply
    1,033.45x = 1,549.77 × 417.25
  4. Step 4: Simplify right side
    1,033.45x = 646,641.53
  5. Step 5: Solve for x
    x = 646,641.53/1,033.45
  6. Step 6: Final answer
    x = 625.71

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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.