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Finding the Fourth Proportional to 1,038.71, 1,433.26 and 596.54

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Solution

The fourth proportional to 1,038.71, 1,433.26 and 596.54 is: 823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.71 : 1,433.26 = 596.54 : x
  2. Step 2: Convert to fraction form
    1,038.71/1,433.26 = 596.54/x
  3. Step 3: Cross multiply
    1,038.71x = 1,433.26 × 596.54
  4. Step 4: Simplify right side
    1,038.71x = 854,996.92
  5. Step 5: Solve for x
    x = 854,996.92/1,038.71
  6. Step 6: Final answer
    x = 823.13

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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.