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Finding the Fourth Proportional to 1,102.72, 1,649.60 and 920.48

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Solution

The fourth proportional to 1,102.72, 1,649.60 and 920.48 is: 1,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.72 : 1,649.60 = 920.48 : x
  2. Step 2: Convert to fraction form
    1,102.72/1,649.60 = 920.48/x
  3. Step 3: Cross multiply
    1,102.72x = 1,649.60 × 920.48
  4. Step 4: Simplify right side
    1,102.72x = 1,518,423.81
  5. Step 5: Solve for x
    x = 1,518,423.81/1,102.72
  6. Step 6: Final answer
    x = 1,376.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.