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Finding the Fourth Proportional to 1,523.40, 2,285.14 and 599.19

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Solution

The fourth proportional to 1,523.40, 2,285.14 and 599.19 is: 898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.40 : 2,285.14 = 599.19 : x
  2. Step 2: Convert to fraction form
    1,523.40/2,285.14 = 599.19/x
  3. Step 3: Cross multiply
    1,523.40x = 2,285.14 × 599.19
  4. Step 4: Simplify right side
    1,523.40x = 1,369,233.04
  5. Step 5: Solve for x
    x = 1,369,233.04/1,523.40
  6. Step 6: Final answer
    x = 898.80

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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.