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Finding the Fourth Proportional to 1,038.83, 1,433.63 and 596.77

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Solution

The fourth proportional to 1,038.83, 1,433.63 and 596.77 is: 823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.83 : 1,433.63 = 596.77 : x
  2. Step 2: Convert to fraction form
    1,038.83/1,433.63 = 596.77/x
  3. Step 3: Cross multiply
    1,038.83x = 1,433.63 × 596.77
  4. Step 4: Simplify right side
    1,038.83x = 855,545.28
  5. Step 5: Solve for x
    x = 855,545.28/1,038.83
  6. Step 6: Final answer
    x = 823.57

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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.