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Finding the Fourth Proportional to 948.65, 1,422 and 602.24

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Solution

The fourth proportional to 948.65, 1,422 and 602.24 is: 902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.65 : 1,422 = 602.24 : x
  2. Step 2: Convert to fraction form
    948.65/1,422 = 602.24/x
  3. Step 3: Cross multiply
    948.65x = 1,422 × 602.24
  4. Step 4: Simplify right side
    948.65x = 856,378.17
  5. Step 5: Solve for x
    x = 856,378.17/948.65
  6. Step 6: Final answer
    x = 902.74

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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.