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Finding the Fourth Proportional to 1,143.45, 1,715.31 and 413.10

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Solution

The fourth proportional to 1,143.45, 1,715.31 and 413.10 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.45 : 1,715.31 = 413.10 : x
  2. Step 2: Convert to fraction form
    1,143.45/1,715.31 = 413.10/x
  3. Step 3: Cross multiply
    1,143.45x = 1,715.31 × 413.10
  4. Step 4: Simplify right side
    1,143.45x = 708,594.56
  5. Step 5: Solve for x
    x = 708,594.56/1,143.45
  6. Step 6: Final answer
    x = 619.70

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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.