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Finding the Fourth Proportional to 974.80, 1,459.55 and 649.12

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Solution

The fourth proportional to 974.80, 1,459.55 and 649.12 is: 971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.80 : 1,459.55 = 649.12 : x
  2. Step 2: Convert to fraction form
    974.80/1,459.55 = 649.12/x
  3. Step 3: Cross multiply
    974.80x = 1,459.55 × 649.12
  4. Step 4: Simplify right side
    974.80x = 947,415.80
  5. Step 5: Solve for x
    x = 947,415.80/974.80
  6. Step 6: Final answer
    x = 971.91

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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.