Home / 1,524.29-2,285.67-599.14

Finding the Fourth Proportional to 1,524.29, 2,285.67 and 599.14

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Solution

The fourth proportional to 1,524.29, 2,285.67 and 599.14 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.29 : 2,285.67 = 599.14 : x
  2. Step 2: Convert to fraction form
    1,524.29/2,285.67 = 599.14/x
  3. Step 3: Cross multiply
    1,524.29x = 2,285.67 × 599.14
  4. Step 4: Simplify right side
    1,524.29x = 1,369,424.90
  5. Step 5: Solve for x
    x = 1,369,424.90/1,524.29
  6. Step 6: Final answer
    x = 898.40

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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.