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Finding the Fourth Proportional to 1,300.74, 1,951.47 and 520.80

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Solution

The fourth proportional to 1,300.74, 1,951.47 and 520.80 is: 781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.74 : 1,951.47 = 520.80 : x
  2. Step 2: Convert to fraction form
    1,300.74/1,951.47 = 520.80/x
  3. Step 3: Cross multiply
    1,300.74x = 1,951.47 × 520.80
  4. Step 4: Simplify right side
    1,300.74x = 1,016,325.58
  5. Step 5: Solve for x
    x = 1,016,325.58/1,300.74
  6. Step 6: Final answer
    x = 781.34

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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.