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Finding the Fourth Proportional to 974.58, 1,461.34 and 511.22

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Solution

The fourth proportional to 974.58, 1,461.34 and 511.22 is: 766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,461.34 = 511.22 : x
  2. Step 2: Convert to fraction form
    974.58/1,461.34 = 511.22/x
  3. Step 3: Cross multiply
    974.58x = 1,461.34 × 511.22
  4. Step 4: Simplify right side
    974.58x = 747,066.23
  5. Step 5: Solve for x
    x = 747,066.23/974.58
  6. Step 6: Final answer
    x = 766.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.