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Finding the Fourth Proportional to 1,064.07, 1,584.77 and 996.57

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Solution

The fourth proportional to 1,064.07, 1,584.77 and 996.57 is: 1,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.07 : 1,584.77 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,064.07/1,584.77 = 996.57/x
  3. Step 3: Cross multiply
    1,064.07x = 1,584.77 × 996.57
  4. Step 4: Simplify right side
    1,064.07x = 1,579,329.26
  5. Step 5: Solve for x
    x = 1,579,329.26/1,064.07
  6. Step 6: Final answer
    x = 1,484.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.