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Finding the Fourth Proportional to 1,121.86, 1,683.66 and 777.60

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Solution

The fourth proportional to 1,121.86, 1,683.66 and 777.60 is: 1,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.86 : 1,683.66 = 777.60 : x
  2. Step 2: Convert to fraction form
    1,121.86/1,683.66 = 777.60/x
  3. Step 3: Cross multiply
    1,121.86x = 1,683.66 × 777.60
  4. Step 4: Simplify right side
    1,121.86x = 1,309,214.02
  5. Step 5: Solve for x
    x = 1,309,214.02/1,121.86
  6. Step 6: Final answer
    x = 1,167.00

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Why These Related Problems?

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