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Finding the Fourth Proportional to 1,105.50, 1,526.20 and 663.50

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Solution

The fourth proportional to 1,105.50, 1,526.20 and 663.50 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.50 : 1,526.20 = 663.50 : x
  2. Step 2: Convert to fraction form
    1,105.50/1,526.20 = 663.50/x
  3. Step 3: Cross multiply
    1,105.50x = 1,526.20 × 663.50
  4. Step 4: Simplify right side
    1,105.50x = 1,012,633.70
  5. Step 5: Solve for x
    x = 1,012,633.70/1,105.50
  6. Step 6: Final answer
    x = 916.00

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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.