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Finding the Fourth Proportional to 1,305.60, 1,802.28 and 781.68

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Solution

The fourth proportional to 1,305.60, 1,802.28 and 781.68 is: 1,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.60 : 1,802.28 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,305.60/1,802.28 = 781.68/x
  3. Step 3: Cross multiply
    1,305.60x = 1,802.28 × 781.68
  4. Step 4: Simplify right side
    1,305.60x = 1,408,806.23
  5. Step 5: Solve for x
    x = 1,408,806.23/1,305.60
  6. Step 6: Final answer
    x = 1,079.05

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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.