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Finding the Fourth Proportional to 1,083.86, 1,494.92 and 705.83

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Solution

The fourth proportional to 1,083.86, 1,494.92 and 705.83 is: 973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.86 : 1,494.92 = 705.83 : x
  2. Step 2: Convert to fraction form
    1,083.86/1,494.92 = 705.83/x
  3. Step 3: Cross multiply
    1,083.86x = 1,494.92 × 705.83
  4. Step 4: Simplify right side
    1,083.86x = 1,055,155.85
  5. Step 5: Solve for x
    x = 1,055,155.85/1,083.86
  6. Step 6: Final answer
    x = 973.52

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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.