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Finding the Fourth Proportional to 970.22, 1,453.30 and 824.62

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Solution

The fourth proportional to 970.22, 1,453.30 and 824.62 is: 1,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.22 : 1,453.30 = 824.62 : x
  2. Step 2: Convert to fraction form
    970.22/1,453.30 = 824.62/x
  3. Step 3: Cross multiply
    970.22x = 1,453.30 × 824.62
  4. Step 4: Simplify right side
    970.22x = 1,198,420.25
  5. Step 5: Solve for x
    x = 1,198,420.25/970.22
  6. Step 6: Final answer
    x = 1,235.20

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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.