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Finding the Fourth Proportional to 1,037.87, 1,556.85 and 413.29

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Solution

The fourth proportional to 1,037.87, 1,556.85 and 413.29 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.87 : 1,556.85 = 413.29 : x
  2. Step 2: Convert to fraction form
    1,037.87/1,556.85 = 413.29/x
  3. Step 3: Cross multiply
    1,037.87x = 1,556.85 × 413.29
  4. Step 4: Simplify right side
    1,037.87x = 643,426.64
  5. Step 5: Solve for x
    x = 643,426.64/1,037.87
  6. Step 6: Final answer
    x = 619.95

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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.