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Finding the Fourth Proportional to 1,292.45, 1,784.19 and 795.51

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Solution

The fourth proportional to 1,292.45, 1,784.19 and 795.51 is: 1,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.45 : 1,784.19 = 795.51 : x
  2. Step 2: Convert to fraction form
    1,292.45/1,784.19 = 795.51/x
  3. Step 3: Cross multiply
    1,292.45x = 1,784.19 × 795.51
  4. Step 4: Simplify right side
    1,292.45x = 1,419,343.97
  5. Step 5: Solve for x
    x = 1,419,343.97/1,292.45
  6. Step 6: Final answer
    x = 1,098.19

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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.