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Finding the Fourth Proportional to 974.99, 1,345.52 and 576.95

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Solution

The fourth proportional to 974.99, 1,345.52 and 576.95 is: 796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.99 : 1,345.52 = 576.95 : x
  2. Step 2: Convert to fraction form
    974.99/1,345.52 = 576.95/x
  3. Step 3: Cross multiply
    974.99x = 1,345.52 × 576.95
  4. Step 4: Simplify right side
    974.99x = 776,292.48
  5. Step 5: Solve for x
    x = 776,292.48/974.99
  6. Step 6: Final answer
    x = 796.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.