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Finding the Fourth Proportional to 1,305.60, 1,956.32 and 689.28

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Solution

The fourth proportional to 1,305.60, 1,956.32 and 689.28 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.60 : 1,956.32 = 689.28 : x
  2. Step 2: Convert to fraction form
    1,305.60/1,956.32 = 689.28/x
  3. Step 3: Cross multiply
    1,305.60x = 1,956.32 × 689.28
  4. Step 4: Simplify right side
    1,305.60x = 1,348,452.25
  5. Step 5: Solve for x
    x = 1,348,452.25/1,305.60
  6. Step 6: Final answer
    x = 1,032.82

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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.