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Finding the Fourth Proportional to 1,275.70, 1,913.73 and 454.11

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Solution

The fourth proportional to 1,275.70, 1,913.73 and 454.11 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.70 : 1,913.73 = 454.11 : x
  2. Step 2: Convert to fraction form
    1,275.70/1,913.73 = 454.11/x
  3. Step 3: Cross multiply
    1,275.70x = 1,913.73 × 454.11
  4. Step 4: Simplify right side
    1,275.70x = 869,035.05
  5. Step 5: Solve for x
    x = 869,035.05/1,275.70
  6. Step 6: Final answer
    x = 681.22

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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.