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Finding the Fourth Proportional to 948.48, 1,421.64 and 462

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Solution

The fourth proportional to 948.48, 1,421.64 and 462 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.48 : 1,421.64 = 462 : x
  2. Step 2: Convert to fraction form
    948.48/1,421.64 = 462/x
  3. Step 3: Cross multiply
    948.48x = 1,421.64 × 462
  4. Step 4: Simplify right side
    948.48x = 656,797.68
  5. Step 5: Solve for x
    x = 656,797.68/948.48
  6. Step 6: Final answer
    x = 692.47

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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.