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Finding the Fourth Proportional to 967.60, 1,335.56 and 618.24

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Solution

The fourth proportional to 967.60, 1,335.56 and 618.24 is: 853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.60 : 1,335.56 = 618.24 : x
  2. Step 2: Convert to fraction form
    967.60/1,335.56 = 618.24/x
  3. Step 3: Cross multiply
    967.60x = 1,335.56 × 618.24
  4. Step 4: Simplify right side
    967.60x = 825,696.61
  5. Step 5: Solve for x
    x = 825,696.61/967.60
  6. Step 6: Final answer
    x = 853.34

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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.