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Finding the Fourth Proportional to 906.84, 1,358.10 and 495.36

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Solution

The fourth proportional to 906.84, 1,358.10 and 495.36 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.84 : 1,358.10 = 495.36 : x
  2. Step 2: Convert to fraction form
    906.84/1,358.10 = 495.36/x
  3. Step 3: Cross multiply
    906.84x = 1,358.10 × 495.36
  4. Step 4: Simplify right side
    906.84x = 672,748.42
  5. Step 5: Solve for x
    x = 672,748.42/906.84
  6. Step 6: Final answer
    x = 741.86

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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.