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Finding the Fourth Proportional to 852.32, 1,277.57 and 486.34

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Solution

The fourth proportional to 852.32, 1,277.57 and 486.34 is: 728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,277.57 = 486.34 : x
  2. Step 2: Convert to fraction form
    852.32/1,277.57 = 486.34/x
  3. Step 3: Cross multiply
    852.32x = 1,277.57 × 486.34
  4. Step 4: Simplify right side
    852.32x = 621,331.42
  5. Step 5: Solve for x
    x = 621,331.42/852.32
  6. Step 6: Final answer
    x = 728.99

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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.