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Finding the Fourth Proportional to 1,029.11, 1,536.08 and 946.76

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Solution

The fourth proportional to 1,029.11, 1,536.08 and 946.76 is: 1,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.11 : 1,536.08 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,029.11/1,536.08 = 946.76/x
  3. Step 3: Cross multiply
    1,029.11x = 1,536.08 × 946.76
  4. Step 4: Simplify right side
    1,029.11x = 1,454,286.69
  5. Step 5: Solve for x
    x = 1,454,286.69/1,029.11
  6. Step 6: Final answer
    x = 1,413.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.