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Finding the Fourth Proportional to 864.06, 1,295.96 and 474.25

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Solution

The fourth proportional to 864.06, 1,295.96 and 474.25 is: 711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.06 : 1,295.96 = 474.25 : x
  2. Step 2: Convert to fraction form
    864.06/1,295.96 = 474.25/x
  3. Step 3: Cross multiply
    864.06x = 1,295.96 × 474.25
  4. Step 4: Simplify right side
    864.06x = 614,603.42
  5. Step 5: Solve for x
    x = 614,603.42/864.06
  6. Step 6: Final answer
    x = 711.30

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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.