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Finding the Fourth Proportional to 1,522.58, 2,282.94 and 548.34

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Solution

The fourth proportional to 1,522.58, 2,282.94 and 548.34 is: 822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.58 : 2,282.94 = 548.34 : x
  2. Step 2: Convert to fraction form
    1,522.58/2,282.94 = 548.34/x
  3. Step 3: Cross multiply
    1,522.58x = 2,282.94 × 548.34
  4. Step 4: Simplify right side
    1,522.58x = 1,251,827.32
  5. Step 5: Solve for x
    x = 1,251,827.32/1,522.58
  6. Step 6: Final answer
    x = 822.18

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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.