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Finding the Fourth Proportional to 671.76, 1,006.01 and 465.75

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Solution

The fourth proportional to 671.76, 1,006.01 and 465.75 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 1,006.01 = 465.75 : x
  2. Step 2: Convert to fraction form
    671.76/1,006.01 = 465.75/x
  3. Step 3: Cross multiply
    671.76x = 1,006.01 × 465.75
  4. Step 4: Simplify right side
    671.76x = 468,549.16
  5. Step 5: Solve for x
    x = 468,549.16/671.76
  6. Step 6: Final answer
    x = 697.49

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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.