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Finding the Fourth Proportional to 1,287.35, 1,776.59 and 712.46

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Solution

The fourth proportional to 1,287.35, 1,776.59 and 712.46 is: 983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.35 : 1,776.59 = 712.46 : x
  2. Step 2: Convert to fraction form
    1,287.35/1,776.59 = 712.46/x
  3. Step 3: Cross multiply
    1,287.35x = 1,776.59 × 712.46
  4. Step 4: Simplify right side
    1,287.35x = 1,265,745.87
  5. Step 5: Solve for x
    x = 1,265,745.87/1,287.35
  6. Step 6: Final answer
    x = 983.21

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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.