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Finding the Fourth Proportional to 902.07, 1,244.84 and 509.09

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Solution

The fourth proportional to 902.07, 1,244.84 and 509.09 is: 702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,244.84 = 509.09 : x
  2. Step 2: Convert to fraction form
    902.07/1,244.84 = 509.09/x
  3. Step 3: Cross multiply
    902.07x = 1,244.84 × 509.09
  4. Step 4: Simplify right side
    902.07x = 633,726.83
  5. Step 5: Solve for x
    x = 633,726.83/902.07
  6. Step 6: Final answer
    x = 702.53

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1.5x scale

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.