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Finding the Fourth Proportional to 850.88, 1,174.28 and 501.63

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Solution

The fourth proportional to 850.88, 1,174.28 and 501.63 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.88 : 1,174.28 = 501.63 : x
  2. Step 2: Convert to fraction form
    850.88/1,174.28 = 501.63/x
  3. Step 3: Cross multiply
    850.88x = 1,174.28 × 501.63
  4. Step 4: Simplify right side
    850.88x = 589,051.57
  5. Step 5: Solve for x
    x = 589,051.57/850.88
  6. Step 6: Final answer
    x = 692.29

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