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Finding the Fourth Proportional to 715.66, 1,072.80 and 455.98

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Solution

The fourth proportional to 715.66, 1,072.80 and 455.98 is: 683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.66 : 1,072.80 = 455.98 : x
  2. Step 2: Convert to fraction form
    715.66/1,072.80 = 455.98/x
  3. Step 3: Cross multiply
    715.66x = 1,072.80 × 455.98
  4. Step 4: Simplify right side
    715.66x = 489,175.34
  5. Step 5: Solve for x
    x = 489,175.34/715.66
  6. Step 6: Final answer
    x = 683.53

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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.