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Finding the Fourth Proportional to 970.88, 1,456.49 and 450.53

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Solution

The fourth proportional to 970.88, 1,456.49 and 450.53 is: 675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 1,456.49 = 450.53 : x
  2. Step 2: Convert to fraction form
    970.88/1,456.49 = 450.53/x
  3. Step 3: Cross multiply
    970.88x = 1,456.49 × 450.53
  4. Step 4: Simplify right side
    970.88x = 656,182.90
  5. Step 5: Solve for x
    x = 656,182.90/970.88
  6. Step 6: Final answer
    x = 675.87

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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.