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Finding the Fourth Proportional to 1,044.77, 1,567.16 and 314.27

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Solution

The fourth proportional to 1,044.77, 1,567.16 and 314.27 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.77 : 1,567.16 = 314.27 : x
  2. Step 2: Convert to fraction form
    1,044.77/1,567.16 = 314.27/x
  3. Step 3: Cross multiply
    1,044.77x = 1,567.16 × 314.27
  4. Step 4: Simplify right side
    1,044.77x = 492,509.80
  5. Step 5: Solve for x
    x = 492,509.80/1,044.77
  6. Step 6: Final answer
    x = 471.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.