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Finding the Fourth Proportional to 1,038.77, 1,433.50 and 596.75

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Solution

The fourth proportional to 1,038.77, 1,433.50 and 596.75 is: 823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.77 : 1,433.50 = 596.75 : x
  2. Step 2: Convert to fraction form
    1,038.77/1,433.50 = 596.75/x
  3. Step 3: Cross multiply
    1,038.77x = 1,433.50 × 596.75
  4. Step 4: Simplify right side
    1,038.77x = 855,432.47
  5. Step 5: Solve for x
    x = 855,432.47/1,038.77
  6. Step 6: Final answer
    x = 823.50

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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.