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Finding the Fourth Proportional to 1,523.28, 2,285.06 and 598.90

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Solution

The fourth proportional to 1,523.28, 2,285.06 and 598.90 is: 898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.28 : 2,285.06 = 598.90 : x
  2. Step 2: Convert to fraction form
    1,523.28/2,285.06 = 598.90/x
  3. Step 3: Cross multiply
    1,523.28x = 2,285.06 × 598.90
  4. Step 4: Simplify right side
    1,523.28x = 1,368,522.43
  5. Step 5: Solve for x
    x = 1,368,522.43/1,523.28
  6. Step 6: Final answer
    x = 898.41

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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.