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Finding the Fourth Proportional to 1,140.27, 1,572.66 and 767.00

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Solution

The fourth proportional to 1,140.27, 1,572.66 and 767.00 is: 1,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.27 : 1,572.66 = 767.00 : x
  2. Step 2: Convert to fraction form
    1,140.27/1,572.66 = 767.00/x
  3. Step 3: Cross multiply
    1,140.27x = 1,572.66 × 767.00
  4. Step 4: Simplify right side
    1,140.27x = 1,206,222.36
  5. Step 5: Solve for x
    x = 1,206,222.36/1,140.27
  6. Step 6: Final answer
    x = 1,057.84

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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.