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Finding the Fourth Proportional to 1,094.31, 1,510.46 and 628.71

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Solution

The fourth proportional to 1,094.31, 1,510.46 and 628.71 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.31 : 1,510.46 = 628.71 : x
  2. Step 2: Convert to fraction form
    1,094.31/1,510.46 = 628.71/x
  3. Step 3: Cross multiply
    1,094.31x = 1,510.46 × 628.71
  4. Step 4: Simplify right side
    1,094.31x = 949,638.16
  5. Step 5: Solve for x
    x = 949,638.16/1,094.31
  6. Step 6: Final answer
    x = 867.80

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