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Finding the Fourth Proportional to 937.72, 1,406.40 and 521.40

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Solution

The fourth proportional to 937.72, 1,406.40 and 521.40 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.72 : 1,406.40 = 521.40 : x
  2. Step 2: Convert to fraction form
    937.72/1,406.40 = 521.40/x
  3. Step 3: Cross multiply
    937.72x = 1,406.40 × 521.40
  4. Step 4: Simplify right side
    937.72x = 733,296.96
  5. Step 5: Solve for x
    x = 733,296.96/937.72
  6. Step 6: Final answer
    x = 782.00

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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.