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Finding the Fourth Proportional to 805.29, 1,204.93 and 574.71

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Solution

The fourth proportional to 805.29, 1,204.93 and 574.71 is: 859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.29 : 1,204.93 = 574.71 : x
  2. Step 2: Convert to fraction form
    805.29/1,204.93 = 574.71/x
  3. Step 3: Cross multiply
    805.29x = 1,204.93 × 574.71
  4. Step 4: Simplify right side
    805.29x = 692,485.32
  5. Step 5: Solve for x
    x = 692,485.32/805.29
  6. Step 6: Final answer
    x = 859.92

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Why These Related Problems?

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