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Finding the Fourth Proportional to 1,064.07, 1,469.34 and 784.79

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Solution

The fourth proportional to 1,064.07, 1,469.34 and 784.79 is: 1,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.07 : 1,469.34 = 784.79 : x
  2. Step 2: Convert to fraction form
    1,064.07/1,469.34 = 784.79/x
  3. Step 3: Cross multiply
    1,064.07x = 1,469.34 × 784.79
  4. Step 4: Simplify right side
    1,064.07x = 1,153,121.50
  5. Step 5: Solve for x
    x = 1,153,121.50/1,064.07
  6. Step 6: Final answer
    x = 1,083.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.