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Finding the Fourth Proportional to 1,274.33, 1,909.27 and 907.20

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Solution

The fourth proportional to 1,274.33, 1,909.27 and 907.20 is: 1,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.33 : 1,909.27 = 907.20 : x
  2. Step 2: Convert to fraction form
    1,274.33/1,909.27 = 907.20/x
  3. Step 3: Cross multiply
    1,274.33x = 1,909.27 × 907.20
  4. Step 4: Simplify right side
    1,274.33x = 1,732,089.74
  5. Step 5: Solve for x
    x = 1,732,089.74/1,274.33
  6. Step 6: Final answer
    x = 1,359.22

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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.