Home / 1,522.67-2,283.37-598.10

Finding the Fourth Proportional to 1,522.67, 2,283.37 and 598.10

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Solution

The fourth proportional to 1,522.67, 2,283.37 and 598.10 is: 896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.67 : 2,283.37 = 598.10 : x
  2. Step 2: Convert to fraction form
    1,522.67/2,283.37 = 598.10/x
  3. Step 3: Cross multiply
    1,522.67x = 2,283.37 × 598.10
  4. Step 4: Simplify right side
    1,522.67x = 1,365,670.68
  5. Step 5: Solve for x
    x = 1,365,670.68/1,522.67
  6. Step 6: Final answer
    x = 896.90

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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.