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Finding the Fourth Proportional to 1,522.54, 2,283.94 and 598.16

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Solution

The fourth proportional to 1,522.54, 2,283.94 and 598.16 is: 897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.54 : 2,283.94 = 598.16 : x
  2. Step 2: Convert to fraction form
    1,522.54/2,283.94 = 598.16/x
  3. Step 3: Cross multiply
    1,522.54x = 2,283.94 × 598.16
  4. Step 4: Simplify right side
    1,522.54x = 1,366,161.55
  5. Step 5: Solve for x
    x = 1,366,161.55/1,522.54
  6. Step 6: Final answer
    x = 897.29

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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.