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Finding the Fourth Proportional to 1,094.64, 1,510.56 and 629.04

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Solution

The fourth proportional to 1,094.64, 1,510.56 and 629.04 is: 868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.64 : 1,510.56 = 629.04 : x
  2. Step 2: Convert to fraction form
    1,094.64/1,510.56 = 629.04/x
  3. Step 3: Cross multiply
    1,094.64x = 1,510.56 × 629.04
  4. Step 4: Simplify right side
    1,094.64x = 950,202.66
  5. Step 5: Solve for x
    x = 950,202.66/1,094.64
  6. Step 6: Final answer
    x = 868.05

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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.