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Finding the Fourth Proportional to 1,104.86, 1,524.89 and 663.01

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Solution

The fourth proportional to 1,104.86, 1,524.89 and 663.01 is: 915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.86 : 1,524.89 = 663.01 : x
  2. Step 2: Convert to fraction form
    1,104.86/1,524.89 = 663.01/x
  3. Step 3: Cross multiply
    1,104.86x = 1,524.89 × 663.01
  4. Step 4: Simplify right side
    1,104.86x = 1,011,015.16
  5. Step 5: Solve for x
    x = 1,011,015.16/1,104.86
  6. Step 6: Final answer
    x = 915.06

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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.