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Finding the Fourth Proportional to 1,071.42, 1,478.63 and 629.16

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Solution

The fourth proportional to 1,071.42, 1,478.63 and 629.16 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,478.63 = 629.16 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,478.63 = 629.16/x
  3. Step 3: Cross multiply
    1,071.42x = 1,478.63 × 629.16
  4. Step 4: Simplify right side
    1,071.42x = 930,294.85
  5. Step 5: Solve for x
    x = 930,294.85/1,071.42
  6. Step 6: Final answer
    x = 868.28

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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.