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Finding the Fourth Proportional to 667.93, 921.84 and 501.88

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Solution

The fourth proportional to 667.93, 921.84 and 501.88 is: 692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.93 : 921.84 = 501.88 : x
  2. Step 2: Convert to fraction form
    667.93/921.84 = 501.88/x
  3. Step 3: Cross multiply
    667.93x = 921.84 × 501.88
  4. Step 4: Simplify right side
    667.93x = 462,653.06
  5. Step 5: Solve for x
    x = 462,653.06/667.93
  6. Step 6: Final answer
    x = 692.67

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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.