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Finding the Fourth Proportional to 967.52, 1,334.40 and 618.08

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Solution

The fourth proportional to 967.52, 1,334.40 and 618.08 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,334.40 = 618.08 : x
  2. Step 2: Convert to fraction form
    967.52/1,334.40 = 618.08/x
  3. Step 3: Cross multiply
    967.52x = 1,334.40 × 618.08
  4. Step 4: Simplify right side
    967.52x = 824,765.95
  5. Step 5: Solve for x
    x = 824,765.95/967.52
  6. Step 6: Final answer
    x = 852.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.