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Finding the Fourth Proportional to 1,259.14, 1,889.93 and 773.14

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Solution

The fourth proportional to 1,259.14, 1,889.93 and 773.14 is: 1,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.14 : 1,889.93 = 773.14 : x
  2. Step 2: Convert to fraction form
    1,259.14/1,889.93 = 773.14/x
  3. Step 3: Cross multiply
    1,259.14x = 1,889.93 × 773.14
  4. Step 4: Simplify right side
    1,259.14x = 1,461,180.48
  5. Step 5: Solve for x
    x = 1,461,180.48/1,259.14
  6. Step 6: Final answer
    x = 1,160.46

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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.