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Finding the Fourth Proportional to 1,030.59, 1,545.41 and 413.78

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Solution

The fourth proportional to 1,030.59, 1,545.41 and 413.78 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.59 : 1,545.41 = 413.78 : x
  2. Step 2: Convert to fraction form
    1,030.59/1,545.41 = 413.78/x
  3. Step 3: Cross multiply
    1,030.59x = 1,545.41 × 413.78
  4. Step 4: Simplify right side
    1,030.59x = 639,453.06
  5. Step 5: Solve for x
    x = 639,453.06/1,030.59
  6. Step 6: Final answer
    x = 620.47

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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.