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Finding the Fourth Proportional to 829.42, 1,144.08 and 534.34

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Solution

The fourth proportional to 829.42, 1,144.08 and 534.34 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,144.08 = 534.34 : x
  2. Step 2: Convert to fraction form
    829.42/1,144.08 = 534.34/x
  3. Step 3: Cross multiply
    829.42x = 1,144.08 × 534.34
  4. Step 4: Simplify right side
    829.42x = 611,327.71
  5. Step 5: Solve for x
    x = 611,327.71/829.42
  6. Step 6: Final answer
    x = 737.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.