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Finding the Fourth Proportional to 840.54, 1,259.69 and 695.22

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Solution

The fourth proportional to 840.54, 1,259.69 and 695.22 is: 1,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,259.69 = 695.22 : x
  2. Step 2: Convert to fraction form
    840.54/1,259.69 = 695.22/x
  3. Step 3: Cross multiply
    840.54x = 1,259.69 × 695.22
  4. Step 4: Simplify right side
    840.54x = 875,753.48
  5. Step 5: Solve for x
    x = 875,753.48/840.54
  6. Step 6: Final answer
    x = 1,041.89

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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.