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Finding the Fourth Proportional to 1,105.33, 1,525.17 and 663.13

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Solution

The fourth proportional to 1,105.33, 1,525.17 and 663.13 is: 915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.33 : 1,525.17 = 663.13 : x
  2. Step 2: Convert to fraction form
    1,105.33/1,525.17 = 663.13/x
  3. Step 3: Cross multiply
    1,105.33x = 1,525.17 × 663.13
  4. Step 4: Simplify right side
    1,105.33x = 1,011,385.98
  5. Step 5: Solve for x
    x = 1,011,385.98/1,105.33
  6. Step 6: Final answer
    x = 915.01

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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.