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Finding the Fourth Proportional to 840.54, 1,259.73 and 515.19

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Solution

The fourth proportional to 840.54, 1,259.73 and 515.19 is: 772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,259.73 = 515.19 : x
  2. Step 2: Convert to fraction form
    840.54/1,259.73 = 515.19/x
  3. Step 3: Cross multiply
    840.54x = 1,259.73 × 515.19
  4. Step 4: Simplify right side
    840.54x = 649,000.30
  5. Step 5: Solve for x
    x = 649,000.30/840.54
  6. Step 6: Final answer
    x = 772.12

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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.