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Finding the Fourth Proportional to 1,300.74, 1,951.87 and 479.59

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Solution

The fourth proportional to 1,300.74, 1,951.87 and 479.59 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.74 : 1,951.87 = 479.59 : x
  2. Step 2: Convert to fraction form
    1,300.74/1,951.87 = 479.59/x
  3. Step 3: Cross multiply
    1,300.74x = 1,951.87 × 479.59
  4. Step 4: Simplify right side
    1,300.74x = 936,087.57
  5. Step 5: Solve for x
    x = 936,087.57/1,300.74
  6. Step 6: Final answer
    x = 719.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.