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Finding the Fourth Proportional to 1,151.05, 1,587.94 and 777.89

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Solution

The fourth proportional to 1,151.05, 1,587.94 and 777.89 is: 1,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.05 : 1,587.94 = 777.89 : x
  2. Step 2: Convert to fraction form
    1,151.05/1,587.94 = 777.89/x
  3. Step 3: Cross multiply
    1,151.05x = 1,587.94 × 777.89
  4. Step 4: Simplify right side
    1,151.05x = 1,235,247.59
  5. Step 5: Solve for x
    x = 1,235,247.59/1,151.05
  6. Step 6: Final answer
    x = 1,073.15

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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.