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Finding the Fourth Proportional to 886.13, 1,328.70 and 783.62

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Solution

The fourth proportional to 886.13, 1,328.70 and 783.62 is: 1,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.13 : 1,328.70 = 783.62 : x
  2. Step 2: Convert to fraction form
    886.13/1,328.70 = 783.62/x
  3. Step 3: Cross multiply
    886.13x = 1,328.70 × 783.62
  4. Step 4: Simplify right side
    886.13x = 1,041,195.89
  5. Step 5: Solve for x
    x = 1,041,195.89/886.13
  6. Step 6: Final answer
    x = 1,174.99

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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.