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Finding the Fourth Proportional to 1,044.71, 1,567.06 and 314.28

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Solution

The fourth proportional to 1,044.71, 1,567.06 and 314.28 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.71 : 1,567.06 = 314.28 : x
  2. Step 2: Convert to fraction form
    1,044.71/1,567.06 = 314.28/x
  3. Step 3: Cross multiply
    1,044.71x = 1,567.06 × 314.28
  4. Step 4: Simplify right side
    1,044.71x = 492,495.62
  5. Step 5: Solve for x
    x = 492,495.62/1,044.71
  6. Step 6: Final answer
    x = 471.42

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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.