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Finding the Fourth Proportional to 746.92, 1,030.22 and 571.96

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Solution

The fourth proportional to 746.92, 1,030.22 and 571.96 is: 788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,030.22 = 571.96 : x
  2. Step 2: Convert to fraction form
    746.92/1,030.22 = 571.96/x
  3. Step 3: Cross multiply
    746.92x = 1,030.22 × 571.96
  4. Step 4: Simplify right side
    746.92x = 589,244.63
  5. Step 5: Solve for x
    x = 589,244.63/746.92
  6. Step 6: Final answer
    x = 788.90

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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.