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Finding the Fourth Proportional to 1,032.81, 1,549.27 and 416.51

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Solution

The fourth proportional to 1,032.81, 1,549.27 and 416.51 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.81 : 1,549.27 = 416.51 : x
  2. Step 2: Convert to fraction form
    1,032.81/1,549.27 = 416.51/x
  3. Step 3: Cross multiply
    1,032.81x = 1,549.27 × 416.51
  4. Step 4: Simplify right side
    1,032.81x = 645,286.45
  5. Step 5: Solve for x
    x = 645,286.45/1,032.81
  6. Step 6: Final answer
    x = 624.79

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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.