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Finding the Fourth Proportional to 975.36, 1,462.65 and 462

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Solution

The fourth proportional to 975.36, 1,462.65 and 462 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,462.65 = 462 : x
  2. Step 2: Convert to fraction form
    975.36/1,462.65 = 462/x
  3. Step 3: Cross multiply
    975.36x = 1,462.65 × 462
  4. Step 4: Simplify right side
    975.36x = 675,744.30
  5. Step 5: Solve for x
    x = 675,744.30/975.36
  6. Step 6: Final answer
    x = 692.82

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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.