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Finding the Fourth Proportional to 1,068.93, 1,474.47 and 848.61

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Solution

The fourth proportional to 1,068.93, 1,474.47 and 848.61 is: 1,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.93 : 1,474.47 = 848.61 : x
  2. Step 2: Convert to fraction form
    1,068.93/1,474.47 = 848.61/x
  3. Step 3: Cross multiply
    1,068.93x = 1,474.47 × 848.61
  4. Step 4: Simplify right side
    1,068.93x = 1,251,249.99
  5. Step 5: Solve for x
    x = 1,251,249.99/1,068.93
  6. Step 6: Final answer
    x = 1,170.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.