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Finding the Fourth Proportional to 1,524.66, 2,287.34 and 783.99

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Solution

The fourth proportional to 1,524.66, 2,287.34 and 783.99 is: 1,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.66 : 2,287.34 = 783.99 : x
  2. Step 2: Convert to fraction form
    1,524.66/2,287.34 = 783.99/x
  3. Step 3: Cross multiply
    1,524.66x = 2,287.34 × 783.99
  4. Step 4: Simplify right side
    1,524.66x = 1,793,244.27
  5. Step 5: Solve for x
    x = 1,793,244.27/1,524.66
  6. Step 6: Final answer
    x = 1,176.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.