Home / 1,023.44-1,533.78-584.82

Finding the Fourth Proportional to 1,023.44, 1,533.78 and 584.82

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Solution

The fourth proportional to 1,023.44, 1,533.78 and 584.82 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.44 : 1,533.78 = 584.82 : x
  2. Step 2: Convert to fraction form
    1,023.44/1,533.78 = 584.82/x
  3. Step 3: Cross multiply
    1,023.44x = 1,533.78 × 584.82
  4. Step 4: Simplify right side
    1,023.44x = 896,985.22
  5. Step 5: Solve for x
    x = 896,985.22/1,023.44
  6. Step 6: Final answer
    x = 876.44

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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.