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Finding the Fourth Proportional to 902, 1,244.76 and 509.02

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Solution

The fourth proportional to 902, 1,244.76 and 509.02 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902 : 1,244.76 = 509.02 : x
  2. Step 2: Convert to fraction form
    902/1,244.76 = 509.02/x
  3. Step 3: Cross multiply
    902x = 1,244.76 × 509.02
  4. Step 4: Simplify right side
    902x = 633,601.51
  5. Step 5: Solve for x
    x = 633,601.51/902
  6. Step 6: Final answer
    x = 702.44

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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.