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Finding the Fourth Proportional to 1,370.52, 2,056.14 and 396.70

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Solution

The fourth proportional to 1,370.52, 2,056.14 and 396.70 is: 595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.52 : 2,056.14 = 396.70 : x
  2. Step 2: Convert to fraction form
    1,370.52/2,056.14 = 396.70/x
  3. Step 3: Cross multiply
    1,370.52x = 2,056.14 × 396.70
  4. Step 4: Simplify right side
    1,370.52x = 815,670.74
  5. Step 5: Solve for x
    x = 815,670.74/1,370.52
  6. Step 6: Final answer
    x = 595.15

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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.