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Finding the Fourth Proportional to 994.76, 1,491.88 and 417.52

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Solution

The fourth proportional to 994.76, 1,491.88 and 417.52 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.76 : 1,491.88 = 417.52 : x
  2. Step 2: Convert to fraction form
    994.76/1,491.88 = 417.52/x
  3. Step 3: Cross multiply
    994.76x = 1,491.88 × 417.52
  4. Step 4: Simplify right side
    994.76x = 622,889.74
  5. Step 5: Solve for x
    x = 622,889.74/994.76
  6. Step 6: Final answer
    x = 626.17

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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.