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Finding the Fourth Proportional to 1,105.47, 1,525.17 and 685.67

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Solution

The fourth proportional to 1,105.47, 1,525.17 and 685.67 is: 945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.47 : 1,525.17 = 685.67 : x
  2. Step 2: Convert to fraction form
    1,105.47/1,525.17 = 685.67/x
  3. Step 3: Cross multiply
    1,105.47x = 1,525.17 × 685.67
  4. Step 4: Simplify right side
    1,105.47x = 1,045,756.76
  5. Step 5: Solve for x
    x = 1,045,756.76/1,105.47
  6. Step 6: Final answer
    x = 945.99

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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.