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Finding the Fourth Proportional to 974, 1,460.06 and 768.06

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Solution

The fourth proportional to 974, 1,460.06 and 768.06 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,460.06 = 768.06 : x
  2. Step 2: Convert to fraction form
    974/1,460.06 = 768.06/x
  3. Step 3: Cross multiply
    974x = 1,460.06 × 768.06
  4. Step 4: Simplify right side
    974x = 1,121,413.68
  5. Step 5: Solve for x
    x = 1,121,413.68/974
  6. Step 6: Final answer
    x = 1,151.35

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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.