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Finding the Fourth Proportional to 1,365.92, 2,046.86 and 706.31

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Solution

The fourth proportional to 1,365.92, 2,046.86 and 706.31 is: 1,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.92 : 2,046.86 = 706.31 : x
  2. Step 2: Convert to fraction form
    1,365.92/2,046.86 = 706.31/x
  3. Step 3: Cross multiply
    1,365.92x = 2,046.86 × 706.31
  4. Step 4: Simplify right side
    1,365.92x = 1,445,714.16
  5. Step 5: Solve for x
    x = 1,445,714.16/1,365.92
  6. Step 6: Final answer
    x = 1,058.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.