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Finding the Fourth Proportional to 1,046.16, 1,568.34 and 429.48

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Solution

The fourth proportional to 1,046.16, 1,568.34 and 429.48 is: 643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.16 : 1,568.34 = 429.48 : x
  2. Step 2: Convert to fraction form
    1,046.16/1,568.34 = 429.48/x
  3. Step 3: Cross multiply
    1,046.16x = 1,568.34 × 429.48
  4. Step 4: Simplify right side
    1,046.16x = 673,570.66
  5. Step 5: Solve for x
    x = 673,570.66/1,046.16
  6. Step 6: Final answer
    x = 643.85

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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.