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Finding the Fourth Proportional to 1,275.83, 1,913.73 and 545.31

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Solution

The fourth proportional to 1,275.83, 1,913.73 and 545.31 is: 817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.83 : 1,913.73 = 545.31 : x
  2. Step 2: Convert to fraction form
    1,275.83/1,913.73 = 545.31/x
  3. Step 3: Cross multiply
    1,275.83x = 1,913.73 × 545.31
  4. Step 4: Simplify right side
    1,275.83x = 1,043,576.11
  5. Step 5: Solve for x
    x = 1,043,576.11/1,275.83
  6. Step 6: Final answer
    x = 817.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.