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Finding the Fourth Proportional to 795.07, 1,192.59 and 307.86

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Solution

The fourth proportional to 795.07, 1,192.59 and 307.86 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.07 : 1,192.59 = 307.86 : x
  2. Step 2: Convert to fraction form
    795.07/1,192.59 = 307.86/x
  3. Step 3: Cross multiply
    795.07x = 1,192.59 × 307.86
  4. Step 4: Simplify right side
    795.07x = 367,150.76
  5. Step 5: Solve for x
    x = 367,150.76/795.07
  6. Step 6: Final answer
    x = 461.78

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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.