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Finding the Fourth Proportional to 901.76, 1,244.54 and 508.82

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Solution

The fourth proportional to 901.76, 1,244.54 and 508.82 is: 702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,244.54 = 508.82 : x
  2. Step 2: Convert to fraction form
    901.76/1,244.54 = 508.82/x
  3. Step 3: Cross multiply
    901.76x = 1,244.54 × 508.82
  4. Step 4: Simplify right side
    901.76x = 633,241.89
  5. Step 5: Solve for x
    x = 633,241.89/901.76
  6. Step 6: Final answer
    x = 702.23

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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.