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Finding the Fourth Proportional to 1,071.42, 1,478.76 and 629.30

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Solution

The fourth proportional to 1,071.42, 1,478.76 and 629.30 is: 868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,478.76 = 629.30 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,478.76 = 629.30/x
  3. Step 3: Cross multiply
    1,071.42x = 1,478.76 × 629.30
  4. Step 4: Simplify right side
    1,071.42x = 930,583.67
  5. Step 5: Solve for x
    x = 930,583.67/1,071.42
  6. Step 6: Final answer
    x = 868.55

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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.