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Finding the Fourth Proportional to 1,306.67, 1,803.75 and 933.80

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Solution

The fourth proportional to 1,306.67, 1,803.75 and 933.80 is: 1,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.67 : 1,803.75 = 933.80 : x
  2. Step 2: Convert to fraction form
    1,306.67/1,803.75 = 933.80/x
  3. Step 3: Cross multiply
    1,306.67x = 1,803.75 × 933.80
  4. Step 4: Simplify right side
    1,306.67x = 1,684,341.75
  5. Step 5: Solve for x
    x = 1,684,341.75/1,306.67
  6. Step 6: Final answer
    x = 1,289.03

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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.