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Finding the Fourth Proportional to 1,094.25, 1,510.07 and 628.59

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Solution

The fourth proportional to 1,094.25, 1,510.07 and 628.59 is: 867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.25 : 1,510.07 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,094.25/1,510.07 = 628.59/x
  3. Step 3: Cross multiply
    1,094.25x = 1,510.07 × 628.59
  4. Step 4: Simplify right side
    1,094.25x = 949,211.76
  5. Step 5: Solve for x
    x = 949,211.76/1,094.25
  6. Step 6: Final answer
    x = 867.45

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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.