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Finding the Fourth Proportional to 697.95, 1,047.24 and 307.77

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Solution

The fourth proportional to 697.95, 1,047.24 and 307.77 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.95 : 1,047.24 = 307.77 : x
  2. Step 2: Convert to fraction form
    697.95/1,047.24 = 307.77/x
  3. Step 3: Cross multiply
    697.95x = 1,047.24 × 307.77
  4. Step 4: Simplify right side
    697.95x = 322,309.05
  5. Step 5: Solve for x
    x = 322,309.05/697.95
  6. Step 6: Final answer
    x = 461.79

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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.