Home / 1,522.02-2,282.97-597.33

Finding the Fourth Proportional to 1,522.02, 2,282.97 and 597.33

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Solution

The fourth proportional to 1,522.02, 2,282.97 and 597.33 is: 895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.02 : 2,282.97 = 597.33 : x
  2. Step 2: Convert to fraction form
    1,522.02/2,282.97 = 597.33/x
  3. Step 3: Cross multiply
    1,522.02x = 2,282.97 × 597.33
  4. Step 4: Simplify right side
    1,522.02x = 1,363,686.47
  5. Step 5: Solve for x
    x = 1,363,686.47/1,522.02
  6. Step 6: Final answer
    x = 895.97

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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.