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Finding the Fourth Proportional to 1,139.68, 1,572.79 and 697.57

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Solution

The fourth proportional to 1,139.68, 1,572.79 and 697.57 is: 962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.68 : 1,572.79 = 697.57 : x
  2. Step 2: Convert to fraction form
    1,139.68/1,572.79 = 697.57/x
  3. Step 3: Cross multiply
    1,139.68x = 1,572.79 × 697.57
  4. Step 4: Simplify right side
    1,139.68x = 1,097,131.12
  5. Step 5: Solve for x
    x = 1,097,131.12/1,139.68
  6. Step 6: Final answer
    x = 962.67

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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.