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Finding the Fourth Proportional to 932.02, 1,396.68 and 520.54

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Solution

The fourth proportional to 932.02, 1,396.68 and 520.54 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.02 : 1,396.68 = 520.54 : x
  2. Step 2: Convert to fraction form
    932.02/1,396.68 = 520.54/x
  3. Step 3: Cross multiply
    932.02x = 1,396.68 × 520.54
  4. Step 4: Simplify right side
    932.02x = 727,027.81
  5. Step 5: Solve for x
    x = 727,027.81/932.02
  6. Step 6: Final answer
    x = 780.06

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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.