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Finding the Fourth Proportional to 1,253.10, 1,878.52 and 522.20

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Solution

The fourth proportional to 1,253.10, 1,878.52 and 522.20 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.10 : 1,878.52 = 522.20 : x
  2. Step 2: Convert to fraction form
    1,253.10/1,878.52 = 522.20/x
  3. Step 3: Cross multiply
    1,253.10x = 1,878.52 × 522.20
  4. Step 4: Simplify right side
    1,253.10x = 980,963.14
  5. Step 5: Solve for x
    x = 980,963.14/1,253.10
  6. Step 6: Final answer
    x = 782.83

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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.