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Finding the Fourth Proportional to 1,066.40, 1,598.97 and 416.68

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Solution

The fourth proportional to 1,066.40, 1,598.97 and 416.68 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,598.97 = 416.68 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,598.97 = 416.68/x
  3. Step 3: Cross multiply
    1,066.40x = 1,598.97 × 416.68
  4. Step 4: Simplify right side
    1,066.40x = 666,256.38
  5. Step 5: Solve for x
    x = 666,256.38/1,066.40
  6. Step 6: Final answer
    x = 624.77

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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.