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Finding the Fourth Proportional to 1,275.70, 1,914.06 and 545.26

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Solution

The fourth proportional to 1,275.70, 1,914.06 and 545.26 is: 818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.70 : 1,914.06 = 545.26 : x
  2. Step 2: Convert to fraction form
    1,275.70/1,914.06 = 545.26/x
  3. Step 3: Cross multiply
    1,275.70x = 1,914.06 × 545.26
  4. Step 4: Simplify right side
    1,275.70x = 1,043,660.36
  5. Step 5: Solve for x
    x = 1,043,660.36/1,275.70
  6. Step 6: Final answer
    x = 818.11

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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.