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Finding the Fourth Proportional to 1,276.98, 1,916.02 and 536.78

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Solution

The fourth proportional to 1,276.98, 1,916.02 and 536.78 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.98 : 1,916.02 = 536.78 : x
  2. Step 2: Convert to fraction form
    1,276.98/1,916.02 = 536.78/x
  3. Step 3: Cross multiply
    1,276.98x = 1,916.02 × 536.78
  4. Step 4: Simplify right side
    1,276.98x = 1,028,476.47
  5. Step 5: Solve for x
    x = 1,028,476.47/1,276.98
  6. Step 6: Final answer
    x = 805.40

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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.