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Finding the Fourth Proportional to 1,275.18, 1,913.01 and 544.74

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Solution

The fourth proportional to 1,275.18, 1,913.01 and 544.74 is: 817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.18 : 1,913.01 = 544.74 : x
  2. Step 2: Convert to fraction form
    1,275.18/1,913.01 = 544.74/x
  3. Step 3: Cross multiply
    1,275.18x = 1,913.01 × 544.74
  4. Step 4: Simplify right side
    1,275.18x = 1,042,093.07
  5. Step 5: Solve for x
    x = 1,042,093.07/1,275.18
  6. Step 6: Final answer
    x = 817.21

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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.