Home / 1,038.14-1,432.66-596.18

Finding the Fourth Proportional to 1,038.14, 1,432.66 and 596.18

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Solution

The fourth proportional to 1,038.14, 1,432.66 and 596.18 is: 822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.14 : 1,432.66 = 596.18 : x
  2. Step 2: Convert to fraction form
    1,038.14/1,432.66 = 596.18/x
  3. Step 3: Cross multiply
    1,038.14x = 1,432.66 × 596.18
  4. Step 4: Simplify right side
    1,038.14x = 854,123.24
  5. Step 5: Solve for x
    x = 854,123.24/1,038.14
  6. Step 6: Final answer
    x = 822.74

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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.