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Finding the Fourth Proportional to 970.28, 1,337.41 and 821.24

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Solution

The fourth proportional to 970.28, 1,337.41 and 821.24 is: 1,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.28 : 1,337.41 = 821.24 : x
  2. Step 2: Convert to fraction form
    970.28/1,337.41 = 821.24/x
  3. Step 3: Cross multiply
    970.28x = 1,337.41 × 821.24
  4. Step 4: Simplify right side
    970.28x = 1,098,333.94
  5. Step 5: Solve for x
    x = 1,098,333.94/970.28
  6. Step 6: Final answer
    x = 1,131.98

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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.