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Finding the Fourth Proportional to 1,038.08, 1,432.82 and 596.23

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Solution

The fourth proportional to 1,038.08, 1,432.82 and 596.23 is: 822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.08 : 1,432.82 = 596.23 : x
  2. Step 2: Convert to fraction form
    1,038.08/1,432.82 = 596.23/x
  3. Step 3: Cross multiply
    1,038.08x = 1,432.82 × 596.23
  4. Step 4: Simplify right side
    1,038.08x = 854,288.18
  5. Step 5: Solve for x
    x = 854,288.18/1,038.08
  6. Step 6: Final answer
    x = 822.95

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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.