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Finding the Fourth Proportional to 975.40, 1,463.22 and 427.72

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Solution

The fourth proportional to 975.40, 1,463.22 and 427.72 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.40 : 1,463.22 = 427.72 : x
  2. Step 2: Convert to fraction form
    975.40/1,463.22 = 427.72/x
  3. Step 3: Cross multiply
    975.40x = 1,463.22 × 427.72
  4. Step 4: Simplify right side
    975.40x = 625,848.46
  5. Step 5: Solve for x
    x = 625,848.46/975.40
  6. Step 6: Final answer
    x = 641.63

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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.