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Finding the Fourth Proportional to 935.89, 1,404.23 and 502.54

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Solution

The fourth proportional to 935.89, 1,404.23 and 502.54 is: 754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.89 : 1,404.23 = 502.54 : x
  2. Step 2: Convert to fraction form
    935.89/1,404.23 = 502.54/x
  3. Step 3: Cross multiply
    935.89x = 1,404.23 × 502.54
  4. Step 4: Simplify right side
    935.89x = 705,675.72
  5. Step 5: Solve for x
    x = 705,675.72/935.89
  6. Step 6: Final answer
    x = 754.02

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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.