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Finding the Fourth Proportional to 1,038.93, 1,433.75 and 596.80

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Solution

The fourth proportional to 1,038.93, 1,433.75 and 596.80 is: 823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.93 : 1,433.75 = 596.80 : x
  2. Step 2: Convert to fraction form
    1,038.93/1,433.75 = 596.80/x
  3. Step 3: Cross multiply
    1,038.93x = 1,433.75 × 596.80
  4. Step 4: Simplify right side
    1,038.93x = 855,664.17
  5. Step 5: Solve for x
    x = 855,664.17/1,038.93
  6. Step 6: Final answer
    x = 823.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.