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Finding the Fourth Proportional to 670.60, 1,004.64 and 381.16

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Solution

The fourth proportional to 670.60, 1,004.64 and 381.16 is: 571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.60 : 1,004.64 = 381.16 : x
  2. Step 2: Convert to fraction form
    670.60/1,004.64 = 381.16/x
  3. Step 3: Cross multiply
    670.60x = 1,004.64 × 381.16
  4. Step 4: Simplify right side
    670.60x = 382,928.58
  5. Step 5: Solve for x
    x = 382,928.58/670.60
  6. Step 6: Final answer
    x = 571.02

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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.