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Finding the Fourth Proportional to 1,038.85, 1,433.75 and 596.76

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Solution

The fourth proportional to 1,038.85, 1,433.75 and 596.76 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.85 : 1,433.75 = 596.76 : x
  2. Step 2: Convert to fraction form
    1,038.85/1,433.75 = 596.76/x
  3. Step 3: Cross multiply
    1,038.85x = 1,433.75 × 596.76
  4. Step 4: Simplify right side
    1,038.85x = 855,604.65
  5. Step 5: Solve for x
    x = 855,604.65/1,038.85
  6. Step 6: Final answer
    x = 823.61

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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.