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Finding the Fourth Proportional to 1,103.57, 1,522.80 and 661.46

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Solution

The fourth proportional to 1,103.57, 1,522.80 and 661.46 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.57 : 1,522.80 = 661.46 : x
  2. Step 2: Convert to fraction form
    1,103.57/1,522.80 = 661.46/x
  3. Step 3: Cross multiply
    1,103.57x = 1,522.80 × 661.46
  4. Step 4: Simplify right side
    1,103.57x = 1,007,263.67
  5. Step 5: Solve for x
    x = 1,007,263.67/1,103.57
  6. Step 6: Final answer
    x = 912.74

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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.