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Finding the Fourth Proportional to 974.16, 1,461.68 and 529.56

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Solution

The fourth proportional to 974.16, 1,461.68 and 529.56 is: 794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,461.68 = 529.56 : x
  2. Step 2: Convert to fraction form
    974.16/1,461.68 = 529.56/x
  3. Step 3: Cross multiply
    974.16x = 1,461.68 × 529.56
  4. Step 4: Simplify right side
    974.16x = 774,046.60
  5. Step 5: Solve for x
    x = 774,046.60/974.16
  6. Step 6: Final answer
    x = 794.58

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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.