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Finding the Fourth Proportional to 1,094.36, 1,510.28 and 628.64

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Solution

The fourth proportional to 1,094.36, 1,510.28 and 628.64 is: 867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.36 : 1,510.28 = 628.64 : x
  2. Step 2: Convert to fraction form
    1,094.36/1,510.28 = 628.64/x
  3. Step 3: Cross multiply
    1,094.36x = 1,510.28 × 628.64
  4. Step 4: Simplify right side
    1,094.36x = 949,422.42
  5. Step 5: Solve for x
    x = 949,422.42/1,094.36
  6. Step 6: Final answer
    x = 867.56

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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.