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Finding the Fourth Proportional to 837.93, 1,156.44 and 502.05

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Solution

The fourth proportional to 837.93, 1,156.44 and 502.05 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.93 : 1,156.44 = 502.05 : x
  2. Step 2: Convert to fraction form
    837.93/1,156.44 = 502.05/x
  3. Step 3: Cross multiply
    837.93x = 1,156.44 × 502.05
  4. Step 4: Simplify right side
    837.93x = 580,590.70
  5. Step 5: Solve for x
    x = 580,590.70/837.93
  6. Step 6: Final answer
    x = 692.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.