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Finding the Fourth Proportional to 1,083.76, 1,625.90 and 314.26

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Solution

The fourth proportional to 1,083.76, 1,625.90 and 314.26 is: 471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.76 : 1,625.90 = 314.26 : x
  2. Step 2: Convert to fraction form
    1,083.76/1,625.90 = 314.26/x
  3. Step 3: Cross multiply
    1,083.76x = 1,625.90 × 314.26
  4. Step 4: Simplify right side
    1,083.76x = 510,955.33
  5. Step 5: Solve for x
    x = 510,955.33/1,083.76
  6. Step 6: Final answer
    x = 471.47

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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.