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Finding the Fourth Proportional to 670.10, 1,004.43 and 477.62

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Solution

The fourth proportional to 670.10, 1,004.43 and 477.62 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 1,004.43 = 477.62 : x
  2. Step 2: Convert to fraction form
    670.10/1,004.43 = 477.62/x
  3. Step 3: Cross multiply
    670.10x = 1,004.43 × 477.62
  4. Step 4: Simplify right side
    670.10x = 479,735.86
  5. Step 5: Solve for x
    x = 479,735.86/670.10
  6. Step 6: Final answer
    x = 715.92

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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.