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Finding the Fourth Proportional to 936.10, 1,403.34 and 502.84

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Solution

The fourth proportional to 936.10, 1,403.34 and 502.84 is: 753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.10 : 1,403.34 = 502.84 : x
  2. Step 2: Convert to fraction form
    936.10/1,403.34 = 502.84/x
  3. Step 3: Cross multiply
    936.10x = 1,403.34 × 502.84
  4. Step 4: Simplify right side
    936.10x = 705,655.49
  5. Step 5: Solve for x
    x = 705,655.49/936.10
  6. Step 6: Final answer
    x = 753.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.