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Finding the Fourth Proportional to 851.06, 1,174.50 and 478.01

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Solution

The fourth proportional to 851.06, 1,174.50 and 478.01 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.06 : 1,174.50 = 478.01 : x
  2. Step 2: Convert to fraction form
    851.06/1,174.50 = 478.01/x
  3. Step 3: Cross multiply
    851.06x = 1,174.50 × 478.01
  4. Step 4: Simplify right side
    851.06x = 561,422.75
  5. Step 5: Solve for x
    x = 561,422.75/851.06
  6. Step 6: Final answer
    x = 659.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.