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Finding the Fourth Proportional to 1,276.30, 1,914.54 and 410.68

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Solution

The fourth proportional to 1,276.30, 1,914.54 and 410.68 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.30 : 1,914.54 = 410.68 : x
  2. Step 2: Convert to fraction form
    1,276.30/1,914.54 = 410.68/x
  3. Step 3: Cross multiply
    1,276.30x = 1,914.54 × 410.68
  4. Step 4: Simplify right side
    1,276.30x = 786,263.29
  5. Step 5: Solve for x
    x = 786,263.29/1,276.30
  6. Step 6: Final answer
    x = 616.05

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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.