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Finding the Fourth Proportional to 901.90, 1,244.60 and 509.05

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Solution

The fourth proportional to 901.90, 1,244.60 and 509.05 is: 702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.90 : 1,244.60 = 509.05 : x
  2. Step 2: Convert to fraction form
    901.90/1,244.60 = 509.05/x
  3. Step 3: Cross multiply
    901.90x = 1,244.60 × 509.05
  4. Step 4: Simplify right side
    901.90x = 633,557.41
  5. Step 5: Solve for x
    x = 633,557.41/901.90
  6. Step 6: Final answer
    x = 702.47

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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.