Home / 1,520.56-2,280.12-596.08

Finding the Fourth Proportional to 1,520.56, 2,280.12 and 596.08

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Solution

The fourth proportional to 1,520.56, 2,280.12 and 596.08 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.56 : 2,280.12 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,520.56/2,280.12 = 596.08/x
  3. Step 3: Cross multiply
    1,520.56x = 2,280.12 × 596.08
  4. Step 4: Simplify right side
    1,520.56x = 1,359,133.93
  5. Step 5: Solve for x
    x = 1,359,133.93/1,520.56
  6. Step 6: Final answer
    x = 893.84

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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.