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Finding the Fourth Proportional to 926.30, 1,284.14 and 876.98

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Solution

The fourth proportional to 926.30, 1,284.14 and 876.98 is: 1,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,284.14 = 876.98 : x
  2. Step 2: Convert to fraction form
    926.30/1,284.14 = 876.98/x
  3. Step 3: Cross multiply
    926.30x = 1,284.14 × 876.98
  4. Step 4: Simplify right side
    926.30x = 1,126,165.10
  5. Step 5: Solve for x
    x = 1,126,165.10/926.30
  6. Step 6: Final answer
    x = 1,215.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.