Home / 1,032.03-1,549.17-416.16

Finding the Fourth Proportional to 1,032.03, 1,549.17 and 416.16

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Solution

The fourth proportional to 1,032.03, 1,549.17 and 416.16 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.03 : 1,549.17 = 416.16 : x
  2. Step 2: Convert to fraction form
    1,032.03/1,549.17 = 416.16/x
  3. Step 3: Cross multiply
    1,032.03x = 1,549.17 × 416.16
  4. Step 4: Simplify right side
    1,032.03x = 644,702.59
  5. Step 5: Solve for x
    x = 644,702.59/1,032.03
  6. Step 6: Final answer
    x = 624.69

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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.