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Finding the Fourth Proportional to 1,502.16, 2,253.48 and 636.48

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Solution

The fourth proportional to 1,502.16, 2,253.48 and 636.48 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.16 : 2,253.48 = 636.48 : x
  2. Step 2: Convert to fraction form
    1,502.16/2,253.48 = 636.48/x
  3. Step 3: Cross multiply
    1,502.16x = 2,253.48 × 636.48
  4. Step 4: Simplify right side
    1,502.16x = 1,434,294.95
  5. Step 5: Solve for x
    x = 1,434,294.95/1,502.16
  6. Step 6: Final answer
    x = 954.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.