Home / 1,523.08-2,282.64-597.76

Finding the Fourth Proportional to 1,523.08, 2,282.64 and 597.76

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Solution

The fourth proportional to 1,523.08, 2,282.64 and 597.76 is: 895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.08 : 2,282.64 = 597.76 : x
  2. Step 2: Convert to fraction form
    1,523.08/2,282.64 = 597.76/x
  3. Step 3: Cross multiply
    1,523.08x = 2,282.64 × 597.76
  4. Step 4: Simplify right side
    1,523.08x = 1,364,470.89
  5. Step 5: Solve for x
    x = 1,364,470.89/1,523.08
  6. Step 6: Final answer
    x = 895.86

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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.