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Finding the Fourth Proportional to 1,370.90, 2,056.49 and 397.15

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Solution

The fourth proportional to 1,370.90, 2,056.49 and 397.15 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.90 : 2,056.49 = 397.15 : x
  2. Step 2: Convert to fraction form
    1,370.90/2,056.49 = 397.15/x
  3. Step 3: Cross multiply
    1,370.90x = 2,056.49 × 397.15
  4. Step 4: Simplify right side
    1,370.90x = 816,729.37
  5. Step 5: Solve for x
    x = 816,729.37/1,370.90
  6. Step 6: Final answer
    x = 595.76

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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.