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Finding the Fourth Proportional to 1,259.17, 1,735.74 and 927.02

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Solution

The fourth proportional to 1,259.17, 1,735.74 and 927.02 is: 1,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.17 : 1,735.74 = 927.02 : x
  2. Step 2: Convert to fraction form
    1,259.17/1,735.74 = 927.02/x
  3. Step 3: Cross multiply
    1,259.17x = 1,735.74 × 927.02
  4. Step 4: Simplify right side
    1,259.17x = 1,609,070.03
  5. Step 5: Solve for x
    x = 1,609,070.03/1,259.17
  6. Step 6: Final answer
    x = 1,277.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.