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Finding the Fourth Proportional to 1,370.67, 2,053.16 and 640.86

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Solution

The fourth proportional to 1,370.67, 2,053.16 and 640.86 is: 959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.67 : 2,053.16 = 640.86 : x
  2. Step 2: Convert to fraction form
    1,370.67/2,053.16 = 640.86/x
  3. Step 3: Cross multiply
    1,370.67x = 2,053.16 × 640.86
  4. Step 4: Simplify right side
    1,370.67x = 1,315,784.91
  5. Step 5: Solve for x
    x = 1,315,784.91/1,370.67
  6. Step 6: Final answer
    x = 959.96

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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.