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Finding the Fourth Proportional to 1,065.74, 1,598.83 and 416.48

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Solution

The fourth proportional to 1,065.74, 1,598.83 and 416.48 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.74 : 1,598.83 = 416.48 : x
  2. Step 2: Convert to fraction form
    1,065.74/1,598.83 = 416.48/x
  3. Step 3: Cross multiply
    1,065.74x = 1,598.83 × 416.48
  4. Step 4: Simplify right side
    1,065.74x = 665,871.68
  5. Step 5: Solve for x
    x = 665,871.68/1,065.74
  6. Step 6: Final answer
    x = 624.80

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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.