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Finding the Fourth Proportional to 795.02, 1,191.57 and 307.76

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Solution

The fourth proportional to 795.02, 1,191.57 and 307.76 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.02 : 1,191.57 = 307.76 : x
  2. Step 2: Convert to fraction form
    795.02/1,191.57 = 307.76/x
  3. Step 3: Cross multiply
    795.02x = 1,191.57 × 307.76
  4. Step 4: Simplify right side
    795.02x = 366,717.58
  5. Step 5: Solve for x
    x = 366,717.58/795.02
  6. Step 6: Final answer
    x = 461.27

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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.