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Finding the Fourth Proportional to 1,037.95, 1,556.67 and 413.23

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Solution

The fourth proportional to 1,037.95, 1,556.67 and 413.23 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.95 : 1,556.67 = 413.23 : x
  2. Step 2: Convert to fraction form
    1,037.95/1,556.67 = 413.23/x
  3. Step 3: Cross multiply
    1,037.95x = 1,556.67 × 413.23
  4. Step 4: Simplify right side
    1,037.95x = 643,262.74
  5. Step 5: Solve for x
    x = 643,262.74/1,037.95
  6. Step 6: Final answer
    x = 619.74

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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.