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Finding the Fourth Proportional to 851.07, 1,174.46 and 478.08

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Solution

The fourth proportional to 851.07, 1,174.46 and 478.08 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,174.46 = 478.08 : x
  2. Step 2: Convert to fraction form
    851.07/1,174.46 = 478.08/x
  3. Step 3: Cross multiply
    851.07x = 1,174.46 × 478.08
  4. Step 4: Simplify right side
    851.07x = 561,483.45
  5. Step 5: Solve for x
    x = 561,483.45/851.07
  6. Step 6: Final answer
    x = 659.74

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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.