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Finding the Fourth Proportional to 1,253.27, 1,878 and 603.11

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Solution

The fourth proportional to 1,253.27, 1,878 and 603.11 is: 903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.27 : 1,878 = 603.11 : x
  2. Step 2: Convert to fraction form
    1,253.27/1,878 = 603.11/x
  3. Step 3: Cross multiply
    1,253.27x = 1,878 × 603.11
  4. Step 4: Simplify right side
    1,253.27x = 1,132,640.58
  5. Step 5: Solve for x
    x = 1,132,640.58/1,253.27
  6. Step 6: Final answer
    x = 903.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.