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Finding the Fourth Proportional to 1,105.43, 1,525.10 and 663.17

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Solution

The fourth proportional to 1,105.43, 1,525.10 and 663.17 is: 914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.43 : 1,525.10 = 663.17 : x
  2. Step 2: Convert to fraction form
    1,105.43/1,525.10 = 663.17/x
  3. Step 3: Cross multiply
    1,105.43x = 1,525.10 × 663.17
  4. Step 4: Simplify right side
    1,105.43x = 1,011,389.63
  5. Step 5: Solve for x
    x = 1,011,389.63/1,105.43
  6. Step 6: Final answer
    x = 914.93

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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.