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Finding the Fourth Proportional to 1,522.78, 2,284.43 and 598.77

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Solution

The fourth proportional to 1,522.78, 2,284.43 and 598.77 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.78 : 2,284.43 = 598.77 : x
  2. Step 2: Convert to fraction form
    1,522.78/2,284.43 = 598.77/x
  3. Step 3: Cross multiply
    1,522.78x = 2,284.43 × 598.77
  4. Step 4: Simplify right side
    1,522.78x = 1,367,848.15
  5. Step 5: Solve for x
    x = 1,367,848.15/1,522.78
  6. Step 6: Final answer
    x = 898.26

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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.