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Finding the Fourth Proportional to 1,065.18, 1,598.31 and 416.37

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Solution

The fourth proportional to 1,065.18, 1,598.31 and 416.37 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,598.31 = 416.37 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,598.31 = 416.37/x
  3. Step 3: Cross multiply
    1,065.18x = 1,598.31 × 416.37
  4. Step 4: Simplify right side
    1,065.18x = 665,488.33
  5. Step 5: Solve for x
    x = 665,488.33/1,065.18
  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.