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Finding the Fourth Proportional to 1,251.84, 1,878 and 602.40

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Solution

The fourth proportional to 1,251.84, 1,878 and 602.40 is: 903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.84 : 1,878 = 602.40 : x
  2. Step 2: Convert to fraction form
    1,251.84/1,878 = 602.40/x
  3. Step 3: Cross multiply
    1,251.84x = 1,878 × 602.40
  4. Step 4: Simplify right side
    1,251.84x = 1,131,307.20
  5. Step 5: Solve for x
    x = 1,131,307.20/1,251.84
  6. Step 6: Final answer
    x = 903.72

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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.