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Finding the Fourth Proportional to 1,070.62, 1,477.44 and 628.56

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Solution

The fourth proportional to 1,070.62, 1,477.44 and 628.56 is: 867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.62 : 1,477.44 = 628.56 : x
  2. Step 2: Convert to fraction form
    1,070.62/1,477.44 = 628.56/x
  3. Step 3: Cross multiply
    1,070.62x = 1,477.44 × 628.56
  4. Step 4: Simplify right side
    1,070.62x = 928,659.69
  5. Step 5: Solve for x
    x = 928,659.69/1,070.62
  6. Step 6: Final answer
    x = 867.41

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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.