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Finding the Fourth Proportional to 829.92, 1,145.07 and 534.72

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Solution

The fourth proportional to 829.92, 1,145.07 and 534.72 is: 737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,145.07 = 534.72 : x
  2. Step 2: Convert to fraction form
    829.92/1,145.07 = 534.72/x
  3. Step 3: Cross multiply
    829.92x = 1,145.07 × 534.72
  4. Step 4: Simplify right side
    829.92x = 612,291.83
  5. Step 5: Solve for x
    x = 612,291.83/829.92
  6. Step 6: Final answer
    x = 737.77

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