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Finding the Fourth Proportional to 669.67, 1,001.98 and 464.64

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Solution

The fourth proportional to 669.67, 1,001.98 and 464.64 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.67 : 1,001.98 = 464.64 : x
  2. Step 2: Convert to fraction form
    669.67/1,001.98 = 464.64/x
  3. Step 3: Cross multiply
    669.67x = 1,001.98 × 464.64
  4. Step 4: Simplify right side
    669.67x = 465,559.99
  5. Step 5: Solve for x
    x = 465,559.99/669.67
  6. Step 6: Final answer
    x = 695.21

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