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Finding the Fourth Proportional to 1,274.17, 1,909.86 and 580.66

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Solution

The fourth proportional to 1,274.17, 1,909.86 and 580.66 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.17 : 1,909.86 = 580.66 : x
  2. Step 2: Convert to fraction form
    1,274.17/1,909.86 = 580.66/x
  3. Step 3: Cross multiply
    1,274.17x = 1,909.86 × 580.66
  4. Step 4: Simplify right side
    1,274.17x = 1,108,979.31
  5. Step 5: Solve for x
    x = 1,108,979.31/1,274.17
  6. Step 6: Final answer
    x = 870.35

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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.