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Finding the Fourth Proportional to 1,344.93, 1,856.06 and 785.31

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Solution

The fourth proportional to 1,344.93, 1,856.06 and 785.31 is: 1,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.93 : 1,856.06 = 785.31 : x
  2. Step 2: Convert to fraction form
    1,344.93/1,856.06 = 785.31/x
  3. Step 3: Cross multiply
    1,344.93x = 1,856.06 × 785.31
  4. Step 4: Simplify right side
    1,344.93x = 1,457,582.48
  5. Step 5: Solve for x
    x = 1,457,582.48/1,344.93
  6. Step 6: Final answer
    x = 1,083.76

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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.