Home / 1,148.19-1,584.52-624.23

Finding the Fourth Proportional to 1,148.19, 1,584.52 and 624.23

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Solution

The fourth proportional to 1,148.19, 1,584.52 and 624.23 is: 861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.19 : 1,584.52 = 624.23 : x
  2. Step 2: Convert to fraction form
    1,148.19/1,584.52 = 624.23/x
  3. Step 3: Cross multiply
    1,148.19x = 1,584.52 × 624.23
  4. Step 4: Simplify right side
    1,148.19x = 989,093.88
  5. Step 5: Solve for x
    x = 989,093.88/1,148.19
  6. Step 6: Final answer
    x = 861.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.