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Finding the Fourth Proportional to 1,569.31, 2,353.93 and 840.31

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Solution

The fourth proportional to 1,569.31, 2,353.93 and 840.31 is: 1,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.31 : 2,353.93 = 840.31 : x
  2. Step 2: Convert to fraction form
    1,569.31/2,353.93 = 840.31/x
  3. Step 3: Cross multiply
    1,569.31x = 2,353.93 × 840.31
  4. Step 4: Simplify right side
    1,569.31x = 1,978,022.93
  5. Step 5: Solve for x
    x = 1,978,022.93/1,569.31
  6. Step 6: Final answer
    x = 1,260.44

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Why These Related Problems?

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