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Finding the Fourth Proportional to 1,046.12, 1,443.42 and 603.86

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Solution

The fourth proportional to 1,046.12, 1,443.42 and 603.86 is: 833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.12 : 1,443.42 = 603.86 : x
  2. Step 2: Convert to fraction form
    1,046.12/1,443.42 = 603.86/x
  3. Step 3: Cross multiply
    1,046.12x = 1,443.42 × 603.86
  4. Step 4: Simplify right side
    1,046.12x = 871,616.38
  5. Step 5: Solve for x
    x = 871,616.38/1,046.12
  6. Step 6: Final answer
    x = 833.19

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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.