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Finding the Fourth Proportional to 975.34, 1,462.56 and 427.98

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Solution

The fourth proportional to 975.34, 1,462.56 and 427.98 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.34 : 1,462.56 = 427.98 : x
  2. Step 2: Convert to fraction form
    975.34/1,462.56 = 427.98/x
  3. Step 3: Cross multiply
    975.34x = 1,462.56 × 427.98
  4. Step 4: Simplify right side
    975.34x = 625,950.31
  5. Step 5: Solve for x
    x = 625,950.31/975.34
  6. Step 6: Final answer
    x = 641.78

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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.