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Finding the Fourth Proportional to 1,105.53, 1,525.53 and 639.69

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Solution

The fourth proportional to 1,105.53, 1,525.53 and 639.69 is: 882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.53 : 1,525.53 = 639.69 : x
  2. Step 2: Convert to fraction form
    1,105.53/1,525.53 = 639.69/x
  3. Step 3: Cross multiply
    1,105.53x = 1,525.53 × 639.69
  4. Step 4: Simplify right side
    1,105.53x = 975,866.29
  5. Step 5: Solve for x
    x = 975,866.29/1,105.53
  6. Step 6: Final answer
    x = 882.71

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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.