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Finding the Fourth Proportional to 935.12, 1,402.74 and 549.56

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Solution

The fourth proportional to 935.12, 1,402.74 and 549.56 is: 824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.12 : 1,402.74 = 549.56 : x
  2. Step 2: Convert to fraction form
    935.12/1,402.74 = 549.56/x
  3. Step 3: Cross multiply
    935.12x = 1,402.74 × 549.56
  4. Step 4: Simplify right side
    935.12x = 770,895.36
  5. Step 5: Solve for x
    x = 770,895.36/935.12
  6. Step 6: Final answer
    x = 824.38

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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.