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Finding the Fourth Proportional to 671.60, 1,006.68 and 383.60

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Solution

The fourth proportional to 671.60, 1,006.68 and 383.60 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 1,006.68 = 383.60 : x
  2. Step 2: Convert to fraction form
    671.60/1,006.68 = 383.60/x
  3. Step 3: Cross multiply
    671.60x = 1,006.68 × 383.60
  4. Step 4: Simplify right side
    671.60x = 386,162.45
  5. Step 5: Solve for x
    x = 386,162.45/671.60
  6. Step 6: Final answer
    x = 574.99

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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.