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Finding the Fourth Proportional to 1,407.20, 2,109.28 and 676.32

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Solution

The fourth proportional to 1,407.20, 2,109.28 and 676.32 is: 1,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.20 : 2,109.28 = 676.32 : x
  2. Step 2: Convert to fraction form
    1,407.20/2,109.28 = 676.32/x
  3. Step 3: Cross multiply
    1,407.20x = 2,109.28 × 676.32
  4. Step 4: Simplify right side
    1,407.20x = 1,426,548.25
  5. Step 5: Solve for x
    x = 1,426,548.25/1,407.20
  6. Step 6: Final answer
    x = 1,013.75

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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.