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Finding the Fourth Proportional to 715.88, 1,071.82 and 368.46

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Solution

The fourth proportional to 715.88, 1,071.82 and 368.46 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.88 : 1,071.82 = 368.46 : x
  2. Step 2: Convert to fraction form
    715.88/1,071.82 = 368.46/x
  3. Step 3: Cross multiply
    715.88x = 1,071.82 × 368.46
  4. Step 4: Simplify right side
    715.88x = 394,922.80
  5. Step 5: Solve for x
    x = 394,922.80/715.88
  6. Step 6: Final answer
    x = 551.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.