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Finding the Fourth Proportional to 1,291.46, 1,937.22 and 317.57

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Solution

The fourth proportional to 1,291.46, 1,937.22 and 317.57 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.46 : 1,937.22 = 317.57 : x
  2. Step 2: Convert to fraction form
    1,291.46/1,937.22 = 317.57/x
  3. Step 3: Cross multiply
    1,291.46x = 1,937.22 × 317.57
  4. Step 4: Simplify right side
    1,291.46x = 615,202.98
  5. Step 5: Solve for x
    x = 615,202.98/1,291.46
  6. Step 6: Final answer
    x = 476.36

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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.