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Finding the Fourth Proportional to 1,094.97, 1,510.93 and 622.93

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Solution

The fourth proportional to 1,094.97, 1,510.93 and 622.93 is: 859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.97 : 1,510.93 = 622.93 : x
  2. Step 2: Convert to fraction form
    1,094.97/1,510.93 = 622.93/x
  3. Step 3: Cross multiply
    1,094.97x = 1,510.93 × 622.93
  4. Step 4: Simplify right side
    1,094.97x = 941,194.29
  5. Step 5: Solve for x
    x = 941,194.29/1,094.97
  6. Step 6: Final answer
    x = 859.56

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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.