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Finding the Fourth Proportional to 1,498.14, 2,068.35 and 967.29

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Solution

The fourth proportional to 1,498.14, 2,068.35 and 967.29 is: 1,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.14 : 2,068.35 = 967.29 : x
  2. Step 2: Convert to fraction form
    1,498.14/2,068.35 = 967.29/x
  3. Step 3: Cross multiply
    1,498.14x = 2,068.35 × 967.29
  4. Step 4: Simplify right side
    1,498.14x = 2,000,694.27
  5. Step 5: Solve for x
    x = 2,000,694.27/1,498.14
  6. Step 6: Final answer
    x = 1,335.45

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