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Finding the Fourth Proportional to 865.95, 1,299.23 and 403.70

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Solution

The fourth proportional to 865.95, 1,299.23 and 403.70 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.95 : 1,299.23 = 403.70 : x
  2. Step 2: Convert to fraction form
    865.95/1,299.23 = 403.70/x
  3. Step 3: Cross multiply
    865.95x = 1,299.23 × 403.70
  4. Step 4: Simplify right side
    865.95x = 524,492.65
  5. Step 5: Solve for x
    x = 524,492.65/865.95
  6. Step 6: Final answer
    x = 605.68

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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.