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Finding the Fourth Proportional to 670.55, 1,005.12 and 474.93

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Solution

The fourth proportional to 670.55, 1,005.12 and 474.93 is: 711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.55 : 1,005.12 = 474.93 : x
  2. Step 2: Convert to fraction form
    670.55/1,005.12 = 474.93/x
  3. Step 3: Cross multiply
    670.55x = 1,005.12 × 474.93
  4. Step 4: Simplify right side
    670.55x = 477,361.64
  5. Step 5: Solve for x
    x = 477,361.64/670.55
  6. Step 6: Final answer
    x = 711.90

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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.