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Finding the Fourth Proportional to 1,253.84, 1,878.72 and 765.40

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Solution

The fourth proportional to 1,253.84, 1,878.72 and 765.40 is: 1,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.84 : 1,878.72 = 765.40 : x
  2. Step 2: Convert to fraction form
    1,253.84/1,878.72 = 765.40/x
  3. Step 3: Cross multiply
    1,253.84x = 1,878.72 × 765.40
  4. Step 4: Simplify right side
    1,253.84x = 1,437,972.29
  5. Step 5: Solve for x
    x = 1,437,972.29/1,253.84
  6. Step 6: Final answer
    x = 1,146.85

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