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Finding the Fourth Proportional to 1,143.65, 1,715.06 and 413.03

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Solution

The fourth proportional to 1,143.65, 1,715.06 and 413.03 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.65 : 1,715.06 = 413.03 : x
  2. Step 2: Convert to fraction form
    1,143.65/1,715.06 = 413.03/x
  3. Step 3: Cross multiply
    1,143.65x = 1,715.06 × 413.03
  4. Step 4: Simplify right side
    1,143.65x = 708,371.23
  5. Step 5: Solve for x
    x = 708,371.23/1,143.65
  6. Step 6: Final answer
    x = 619.40

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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.