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Finding the Fourth Proportional to 1,046.16, 1,567.94 and 429.53

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Solution

The fourth proportional to 1,046.16, 1,567.94 and 429.53 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.16 : 1,567.94 = 429.53 : x
  2. Step 2: Convert to fraction form
    1,046.16/1,567.94 = 429.53/x
  3. Step 3: Cross multiply
    1,046.16x = 1,567.94 × 429.53
  4. Step 4: Simplify right side
    1,046.16x = 673,467.28
  5. Step 5: Solve for x
    x = 673,467.28/1,046.16
  6. Step 6: Final answer
    x = 643.75

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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.