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Finding the Fourth Proportional to 805, 1,207.50 and 292

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Solution

The fourth proportional to 805, 1,207.50 and 292 is: 438

Step by Step Solution

  1. Step 1: Write the proportion equation
    805 : 1,207.50 = 292 : x
  2. Step 2: Convert to fraction form
    805/1,207.50 = 292/x
  3. Step 3: Cross multiply
    805x = 1,207.50 × 292
  4. Step 4: Simplify right side
    805x = 352,590
  5. Step 5: Solve for x
    x = 352,590/805
  6. Step 6: Final answer
    x = 438

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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.