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Finding the Fourth Proportional to 1,451.49, 2,177.49 and 528.34

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Solution

The fourth proportional to 1,451.49, 2,177.49 and 528.34 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.49 : 2,177.49 = 528.34 : x
  2. Step 2: Convert to fraction form
    1,451.49/2,177.49 = 528.34/x
  3. Step 3: Cross multiply
    1,451.49x = 2,177.49 × 528.34
  4. Step 4: Simplify right side
    1,451.49x = 1,150,444.18
  5. Step 5: Solve for x
    x = 1,150,444.18/1,451.49
  6. Step 6: Final answer
    x = 792.60

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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.