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Finding the Fourth Proportional to 1,370.96, 1,892.06 and 781.58

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Solution

The fourth proportional to 1,370.96, 1,892.06 and 781.58 is: 1,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.96 : 1,892.06 = 781.58 : x
  2. Step 2: Convert to fraction form
    1,370.96/1,892.06 = 781.58/x
  3. Step 3: Cross multiply
    1,370.96x = 1,892.06 × 781.58
  4. Step 4: Simplify right side
    1,370.96x = 1,478,800.01
  5. Step 5: Solve for x
    x = 1,478,800.01/1,370.96
  6. Step 6: Final answer
    x = 1,078.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.