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Finding the Fourth Proportional to 1,305.96, 1,801.71 and 840.48

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Solution

The fourth proportional to 1,305.96, 1,801.71 and 840.48 is: 1,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.96 : 1,801.71 = 840.48 : x
  2. Step 2: Convert to fraction form
    1,305.96/1,801.71 = 840.48/x
  3. Step 3: Cross multiply
    1,305.96x = 1,801.71 × 840.48
  4. Step 4: Simplify right side
    1,305.96x = 1,514,301.22
  5. Step 5: Solve for x
    x = 1,514,301.22/1,305.96
  6. Step 6: Final answer
    x = 1,159.53

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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.