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Finding the Fourth Proportional to 1,071.26, 1,477.62 and 628.84

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Solution

The fourth proportional to 1,071.26, 1,477.62 and 628.84 is: 867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.26 : 1,477.62 = 628.84 : x
  2. Step 2: Convert to fraction form
    1,071.26/1,477.62 = 628.84/x
  3. Step 3: Cross multiply
    1,071.26x = 1,477.62 × 628.84
  4. Step 4: Simplify right side
    1,071.26x = 929,186.56
  5. Step 5: Solve for x
    x = 929,186.56/1,071.26
  6. Step 6: Final answer
    x = 867.38

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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.