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Finding the Fourth Proportional to 746.97, 1,030.79 and 410.87

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Solution

The fourth proportional to 746.97, 1,030.79 and 410.87 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.97 : 1,030.79 = 410.87 : x
  2. Step 2: Convert to fraction form
    746.97/1,030.79 = 410.87/x
  3. Step 3: Cross multiply
    746.97x = 1,030.79 × 410.87
  4. Step 4: Simplify right side
    746.97x = 423,524.29
  5. Step 5: Solve for x
    x = 423,524.29/746.97
  6. Step 6: Final answer
    x = 566.99

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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.