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Finding the Fourth Proportional to 1,275.40, 1,913.16 and 453.68

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Solution

The fourth proportional to 1,275.40, 1,913.16 and 453.68 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.40 : 1,913.16 = 453.68 : x
  2. Step 2: Convert to fraction form
    1,275.40/1,913.16 = 453.68/x
  3. Step 3: Cross multiply
    1,275.40x = 1,913.16 × 453.68
  4. Step 4: Simplify right side
    1,275.40x = 867,962.43
  5. Step 5: Solve for x
    x = 867,962.43/1,275.40
  6. Step 6: Final answer
    x = 680.54

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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.