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Finding the Fourth Proportional to 669.82, 1,003.65 and 476.50

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Solution

The fourth proportional to 669.82, 1,003.65 and 476.50 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 1,003.65 = 476.50 : x
  2. Step 2: Convert to fraction form
    669.82/1,003.65 = 476.50/x
  3. Step 3: Cross multiply
    669.82x = 1,003.65 × 476.50
  4. Step 4: Simplify right side
    669.82x = 478,239.23
  5. Step 5: Solve for x
    x = 478,239.23/669.82
  6. Step 6: Final answer
    x = 713.98

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Why These Related Problems?

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