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Finding the Fourth Proportional to 964.22, 1,330.31 and 615.02

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Solution

The fourth proportional to 964.22, 1,330.31 and 615.02 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,330.31 = 615.02 : x
  2. Step 2: Convert to fraction form
    964.22/1,330.31 = 615.02/x
  3. Step 3: Cross multiply
    964.22x = 1,330.31 × 615.02
  4. Step 4: Simplify right side
    964.22x = 818,167.26
  5. Step 5: Solve for x
    x = 818,167.26/964.22
  6. Step 6: Final answer
    x = 848.53

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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.