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Finding the Fourth Proportional to 1,508.65, 2,262.87 and 413.14

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Solution

The fourth proportional to 1,508.65, 2,262.87 and 413.14 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.65 : 2,262.87 = 413.14 : x
  2. Step 2: Convert to fraction form
    1,508.65/2,262.87 = 413.14/x
  3. Step 3: Cross multiply
    1,508.65x = 2,262.87 × 413.14
  4. Step 4: Simplify right side
    1,508.65x = 934,882.11
  5. Step 5: Solve for x
    x = 934,882.11/1,508.65
  6. Step 6: Final answer
    x = 619.68

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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.