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Finding the Fourth Proportional to 1,038.96, 1,433.70 and 596.85

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Solution

The fourth proportional to 1,038.96, 1,433.70 and 596.85 is: 823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.96 : 1,433.70 = 596.85 : x
  2. Step 2: Convert to fraction form
    1,038.96/1,433.70 = 596.85/x
  3. Step 3: Cross multiply
    1,038.96x = 1,433.70 × 596.85
  4. Step 4: Simplify right side
    1,038.96x = 855,703.85
  5. Step 5: Solve for x
    x = 855,703.85/1,038.96
  6. Step 6: Final answer
    x = 823.62

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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.