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Finding the Fourth Proportional to 1,105.49, 1,526.19 and 663.50

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Solution

The fourth proportional to 1,105.49, 1,526.19 and 663.50 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.49 : 1,526.19 = 663.50 : x
  2. Step 2: Convert to fraction form
    1,105.49/1,526.19 = 663.50/x
  3. Step 3: Cross multiply
    1,105.49x = 1,526.19 × 663.50
  4. Step 4: Simplify right side
    1,105.49x = 1,012,627.07
  5. Step 5: Solve for x
    x = 1,012,627.07/1,105.49
  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.