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Finding the Fourth Proportional to 964.23, 1,452 and 692.24

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Solution

The fourth proportional to 964.23, 1,452 and 692.24 is: 1,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,452 = 692.24 : x
  2. Step 2: Convert to fraction form
    964.23/1,452 = 692.24/x
  3. Step 3: Cross multiply
    964.23x = 1,452 × 692.24
  4. Step 4: Simplify right side
    964.23x = 1,005,125.22
  5. Step 5: Solve for x
    x = 1,005,125.22/964.23
  6. Step 6: Final answer
    x = 1,042.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.