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Finding the Fourth Proportional to 1,252.49, 1,878.32 and 594.27

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Solution

The fourth proportional to 1,252.49, 1,878.32 and 594.27 is: 891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.49 : 1,878.32 = 594.27 : x
  2. Step 2: Convert to fraction form
    1,252.49/1,878.32 = 594.27/x
  3. Step 3: Cross multiply
    1,252.49x = 1,878.32 × 594.27
  4. Step 4: Simplify right side
    1,252.49x = 1,116,226.26
  5. Step 5: Solve for x
    x = 1,116,226.26/1,252.49
  6. Step 6: Final answer
    x = 891.21

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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.