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Finding the Fourth Proportional to 1,033.25, 1,549.47 and 416.84

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Solution

The fourth proportional to 1,033.25, 1,549.47 and 416.84 is: 625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.25 : 1,549.47 = 416.84 : x
  2. Step 2: Convert to fraction form
    1,033.25/1,549.47 = 416.84/x
  3. Step 3: Cross multiply
    1,033.25x = 1,549.47 × 416.84
  4. Step 4: Simplify right side
    1,033.25x = 645,881.07
  5. Step 5: Solve for x
    x = 645,881.07/1,033.25
  6. Step 6: Final answer
    x = 625.10

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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.