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Finding the Fourth Proportional to 670.58, 1,005.29 and 474.96

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Solution

The fourth proportional to 670.58, 1,005.29 and 474.96 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.58 : 1,005.29 = 474.96 : x
  2. Step 2: Convert to fraction form
    670.58/1,005.29 = 474.96/x
  3. Step 3: Cross multiply
    670.58x = 1,005.29 × 474.96
  4. Step 4: Simplify right side
    670.58x = 477,472.54
  5. Step 5: Solve for x
    x = 477,472.54/670.58
  6. Step 6: Final answer
    x = 712.03

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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.