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Finding the Fourth Proportional to 848.46, 1,170.80 and 475.46

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Solution

The fourth proportional to 848.46, 1,170.80 and 475.46 is: 656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.46 : 1,170.80 = 475.46 : x
  2. Step 2: Convert to fraction form
    848.46/1,170.80 = 475.46/x
  3. Step 3: Cross multiply
    848.46x = 1,170.80 × 475.46
  4. Step 4: Simplify right side
    848.46x = 556,668.57
  5. Step 5: Solve for x
    x = 556,668.57/848.46
  6. Step 6: Final answer
    x = 656.09

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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.