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Finding the Fourth Proportional to 972.48, 1,461.04 and 813.68

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Solution

The fourth proportional to 972.48, 1,461.04 and 813.68 is: 1,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,461.04 = 813.68 : x
  2. Step 2: Convert to fraction form
    972.48/1,461.04 = 813.68/x
  3. Step 3: Cross multiply
    972.48x = 1,461.04 × 813.68
  4. Step 4: Simplify right side
    972.48x = 1,188,819.03
  5. Step 5: Solve for x
    x = 1,188,819.03/972.48
  6. Step 6: Final answer
    x = 1,222.46

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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.