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Finding the Fourth Proportional to 1,522.56, 2,283.66 and 598.80

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Solution

The fourth proportional to 1,522.56, 2,283.66 and 598.80 is: 898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.56 : 2,283.66 = 598.80 : x
  2. Step 2: Convert to fraction form
    1,522.56/2,283.66 = 598.80/x
  3. Step 3: Cross multiply
    1,522.56x = 2,283.66 × 598.80
  4. Step 4: Simplify right side
    1,522.56x = 1,367,455.61
  5. Step 5: Solve for x
    x = 1,367,455.61/1,522.56
  6. Step 6: Final answer
    x = 898.13

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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.