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Finding the Fourth Proportional to 838.51, 1,156.77 and 502.23

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Solution

The fourth proportional to 838.51, 1,156.77 and 502.23 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.51 : 1,156.77 = 502.23 : x
  2. Step 2: Convert to fraction form
    838.51/1,156.77 = 502.23/x
  3. Step 3: Cross multiply
    838.51x = 1,156.77 × 502.23
  4. Step 4: Simplify right side
    838.51x = 580,964.60
  5. Step 5: Solve for x
    x = 580,964.60/838.51
  6. Step 6: Final answer
    x = 692.85

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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.