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Finding the Fourth Proportional to 820.29, 1,230.54 and 265.02

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Solution

The fourth proportional to 820.29, 1,230.54 and 265.02 is: 397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.29 : 1,230.54 = 265.02 : x
  2. Step 2: Convert to fraction form
    820.29/1,230.54 = 265.02/x
  3. Step 3: Cross multiply
    820.29x = 1,230.54 × 265.02
  4. Step 4: Simplify right side
    820.29x = 326,117.71
  5. Step 5: Solve for x
    x = 326,117.71/820.29
  6. Step 6: Final answer
    x = 397.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.