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Finding the Fourth Proportional to 1,046.11, 1,567.79 and 429.11

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Solution

The fourth proportional to 1,046.11, 1,567.79 and 429.11 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.11 : 1,567.79 = 429.11 : x
  2. Step 2: Convert to fraction form
    1,046.11/1,567.79 = 429.11/x
  3. Step 3: Cross multiply
    1,046.11x = 1,567.79 × 429.11
  4. Step 4: Simplify right side
    1,046.11x = 672,754.37
  5. Step 5: Solve for x
    x = 672,754.37/1,046.11
  6. Step 6: Final answer
    x = 643.10

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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.