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Finding the Fourth Proportional to 1,274.01, 1,910.35 and 580.35

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Solution

The fourth proportional to 1,274.01, 1,910.35 and 580.35 is: 870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.01 : 1,910.35 = 580.35 : x
  2. Step 2: Convert to fraction form
    1,274.01/1,910.35 = 580.35/x
  3. Step 3: Cross multiply
    1,274.01x = 1,910.35 × 580.35
  4. Step 4: Simplify right side
    1,274.01x = 1,108,671.62
  5. Step 5: Solve for x
    x = 1,108,671.62/1,274.01
  6. Step 6: Final answer
    x = 870.22

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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.