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Finding the Fourth Proportional to 1,032.93, 1,549 and 416.42

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Solution

The fourth proportional to 1,032.93, 1,549 and 416.42 is: 624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.93 : 1,549 = 416.42 : x
  2. Step 2: Convert to fraction form
    1,032.93/1,549 = 416.42/x
  3. Step 3: Cross multiply
    1,032.93x = 1,549 × 416.42
  4. Step 4: Simplify right side
    1,032.93x = 645,034.58
  5. Step 5: Solve for x
    x = 645,034.58/1,032.93
  6. Step 6: Final answer
    x = 624.47

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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.