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Finding the Fourth Proportional to 746.91, 1,120.64 and 284.81

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Solution

The fourth proportional to 746.91, 1,120.64 and 284.81 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.91 : 1,120.64 = 284.81 : x
  2. Step 2: Convert to fraction form
    746.91/1,120.64 = 284.81/x
  3. Step 3: Cross multiply
    746.91x = 1,120.64 × 284.81
  4. Step 4: Simplify right side
    746.91x = 319,162.45
  5. Step 5: Solve for x
    x = 319,162.45/746.91
  6. Step 6: Final answer
    x = 427.31

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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.