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Finding the Fourth Proportional to 1,105.82, 1,526.24 and 657.77

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Solution

The fourth proportional to 1,105.82, 1,526.24 and 657.77 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.82 : 1,526.24 = 657.77 : x
  2. Step 2: Convert to fraction form
    1,105.82/1,526.24 = 657.77/x
  3. Step 3: Cross multiply
    1,105.82x = 1,526.24 × 657.77
  4. Step 4: Simplify right side
    1,105.82x = 1,003,911.60
  5. Step 5: Solve for x
    x = 1,003,911.60/1,105.82
  6. Step 6: Final answer
    x = 907.85

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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.