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Finding the Fourth Proportional to 1,046.12, 1,443.18 and 603.92

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Solution

The fourth proportional to 1,046.12, 1,443.18 and 603.92 is: 833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.12 : 1,443.18 = 603.92 : x
  2. Step 2: Convert to fraction form
    1,046.12/1,443.18 = 603.92/x
  3. Step 3: Cross multiply
    1,046.12x = 1,443.18 × 603.92
  4. Step 4: Simplify right side
    1,046.12x = 871,571.14
  5. Step 5: Solve for x
    x = 871,571.14/1,046.12
  6. Step 6: Final answer
    x = 833.15

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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.