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Finding the Fourth Proportional to 901.60, 1,244.21 and 508.62

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Solution

The fourth proportional to 901.60, 1,244.21 and 508.62 is: 701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.60 : 1,244.21 = 508.62 : x
  2. Step 2: Convert to fraction form
    901.60/1,244.21 = 508.62/x
  3. Step 3: Cross multiply
    901.60x = 1,244.21 × 508.62
  4. Step 4: Simplify right side
    901.60x = 632,821.33
  5. Step 5: Solve for x
    x = 632,821.33/901.60
  6. Step 6: Final answer
    x = 701.89

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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.