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Finding the Fourth Proportional to 789.23, 1,184.45 and 424.13

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Solution

The fourth proportional to 789.23, 1,184.45 and 424.13 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.23 : 1,184.45 = 424.13 : x
  2. Step 2: Convert to fraction form
    789.23/1,184.45 = 424.13/x
  3. Step 3: Cross multiply
    789.23x = 1,184.45 × 424.13
  4. Step 4: Simplify right side
    789.23x = 502,352.74
  5. Step 5: Solve for x
    x = 502,352.74/789.23
  6. Step 6: Final answer
    x = 636.51

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Double scale
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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.