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Finding the Fourth Proportional to 972.38, 1,341.36 and 617.66

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Solution

The fourth proportional to 972.38, 1,341.36 and 617.66 is: 852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.38 : 1,341.36 = 617.66 : x
  2. Step 2: Convert to fraction form
    972.38/1,341.36 = 617.66/x
  3. Step 3: Cross multiply
    972.38x = 1,341.36 × 617.66
  4. Step 4: Simplify right side
    972.38x = 828,504.42
  5. Step 5: Solve for x
    x = 828,504.42/972.38
  6. Step 6: Final answer
    x = 852.04

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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.