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Finding the Fourth Proportional to 1,300.69, 1,951.04 and 651.07

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Solution

The fourth proportional to 1,300.69, 1,951.04 and 651.07 is: 976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.69 : 1,951.04 = 651.07 : x
  2. Step 2: Convert to fraction form
    1,300.69/1,951.04 = 651.07/x
  3. Step 3: Cross multiply
    1,300.69x = 1,951.04 × 651.07
  4. Step 4: Simplify right side
    1,300.69x = 1,270,263.61
  5. Step 5: Solve for x
    x = 1,270,263.61/1,300.69
  6. Step 6: Final answer
    x = 976.61

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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.