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Finding the Fourth Proportional to 669.80, 1,004.06 and 615.13

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Solution

The fourth proportional to 669.80, 1,004.06 and 615.13 is: 922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.80 : 1,004.06 = 615.13 : x
  2. Step 2: Convert to fraction form
    669.80/1,004.06 = 615.13/x
  3. Step 3: Cross multiply
    669.80x = 1,004.06 × 615.13
  4. Step 4: Simplify right side
    669.80x = 617,626.46
  5. Step 5: Solve for x
    x = 617,626.46/669.80
  6. Step 6: Final answer
    x = 922.10

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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.