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Finding the Fourth Proportional to 1,038.82, 1,433.58 and 596.74

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Solution

The fourth proportional to 1,038.82, 1,433.58 and 596.74 is: 823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.82 : 1,433.58 = 596.74 : x
  2. Step 2: Convert to fraction form
    1,038.82/1,433.58 = 596.74/x
  3. Step 3: Cross multiply
    1,038.82x = 1,433.58 × 596.74
  4. Step 4: Simplify right side
    1,038.82x = 855,474.53
  5. Step 5: Solve for x
    x = 855,474.53/1,038.82
  6. Step 6: Final answer
    x = 823.51

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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.