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Finding the Fourth Proportional to 902.16, 1,244.93 and 509.14

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Solution

The fourth proportional to 902.16, 1,244.93 and 509.14 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.16 : 1,244.93 = 509.14 : x
  2. Step 2: Convert to fraction form
    902.16/1,244.93 = 509.14/x
  3. Step 3: Cross multiply
    902.16x = 1,244.93 × 509.14
  4. Step 4: Simplify right side
    902.16x = 633,843.66
  5. Step 5: Solve for x
    x = 633,843.66/902.16
  6. Step 6: Final answer
    x = 702.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.