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Finding the Fourth Proportional to 669.60, 1,006.56 and 478.56

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Solution

The fourth proportional to 669.60, 1,006.56 and 478.56 is: 719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.60 : 1,006.56 = 478.56 : x
  2. Step 2: Convert to fraction form
    669.60/1,006.56 = 478.56/x
  3. Step 3: Cross multiply
    669.60x = 1,006.56 × 478.56
  4. Step 4: Simplify right side
    669.60x = 481,699.35
  5. Step 5: Solve for x
    x = 481,699.35/669.60
  6. Step 6: Final answer
    x = 719.38

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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.