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Finding the Fourth Proportional to 1,066.40, 1,598.96 and 416.80

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Solution

The fourth proportional to 1,066.40, 1,598.96 and 416.80 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,598.96 = 416.80 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,598.96 = 416.80/x
  3. Step 3: Cross multiply
    1,066.40x = 1,598.96 × 416.80
  4. Step 4: Simplify right side
    1,066.40x = 666,446.53
  5. Step 5: Solve for x
    x = 666,446.53/1,066.40
  6. Step 6: Final answer
    x = 624.95

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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.