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Finding the Fourth Proportional to 1,046.00, 1,442.96 and 603.63

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Solution

The fourth proportional to 1,046.00, 1,442.96 and 603.63 is: 832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.00 : 1,442.96 = 603.63 : x
  2. Step 2: Convert to fraction form
    1,046.00/1,442.96 = 603.63/x
  3. Step 3: Cross multiply
    1,046.00x = 1,442.96 × 603.63
  4. Step 4: Simplify right side
    1,046.00x = 871,010.93
  5. Step 5: Solve for x
    x = 871,010.93/1,046.00
  6. Step 6: Final answer
    x = 832.71

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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.