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Finding the Fourth Proportional to 905.56, 1,358.94 and 783.64

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Solution

The fourth proportional to 905.56, 1,358.94 and 783.64 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.56 : 1,358.94 = 783.64 : x
  2. Step 2: Convert to fraction form
    905.56/1,358.94 = 783.64/x
  3. Step 3: Cross multiply
    905.56x = 1,358.94 × 783.64
  4. Step 4: Simplify right side
    905.56x = 1,064,919.74
  5. Step 5: Solve for x
    x = 1,064,919.74/905.56
  6. Step 6: Final answer
    x = 1,175.98

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Why These Related Problems?

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