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Finding the Fourth Proportional to 1,603.27, 2,212.57 and 904.63

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Solution

The fourth proportional to 1,603.27, 2,212.57 and 904.63 is: 1,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.27 : 2,212.57 = 904.63 : x
  2. Step 2: Convert to fraction form
    1,603.27/2,212.57 = 904.63/x
  3. Step 3: Cross multiply
    1,603.27x = 2,212.57 × 904.63
  4. Step 4: Simplify right side
    1,603.27x = 2,001,543.87
  5. Step 5: Solve for x
    x = 2,001,543.87/1,603.27
  6. Step 6: Final answer
    x = 1,248.42

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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.