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Finding the Fourth Proportional to 905.52, 1,353.55 and 783.52

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Solution

The fourth proportional to 905.52, 1,353.55 and 783.52 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.52 : 1,353.55 = 783.52 : x
  2. Step 2: Convert to fraction form
    905.52/1,353.55 = 783.52/x
  3. Step 3: Cross multiply
    905.52x = 1,353.55 × 783.52
  4. Step 4: Simplify right side
    905.52x = 1,060,533.50
  5. Step 5: Solve for x
    x = 1,060,533.50/905.52
  6. Step 6: Final answer
    x = 1,171.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.