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Finding the Fourth Proportional to 1,275.80, 1,913.70 and 903.20

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Solution

The fourth proportional to 1,275.80, 1,913.70 and 903.20 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.80 : 1,913.70 = 903.20 : x
  2. Step 2: Convert to fraction form
    1,275.80/1,913.70 = 903.20/x
  3. Step 3: Cross multiply
    1,275.80x = 1,913.70 × 903.20
  4. Step 4: Simplify right side
    1,275.80x = 1,728,453.84
  5. Step 5: Solve for x
    x = 1,728,453.84/1,275.80
  6. Step 6: Final answer
    x = 1,354.80

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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.