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Finding the Fourth Proportional to 648.30, 892.86 and 615.36

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Solution

The fourth proportional to 648.30, 892.86 and 615.36 is: 847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 892.86 = 615.36 : x
  2. Step 2: Convert to fraction form
    648.30/892.86 = 615.36/x
  3. Step 3: Cross multiply
    648.30x = 892.86 × 615.36
  4. Step 4: Simplify right side
    648.30x = 549,430.33
  5. Step 5: Solve for x
    x = 549,430.33/648.30
  6. Step 6: Final answer
    x = 847.49

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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.