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Finding the Fourth Proportional to 671.16, 1,005.12 and 427.35

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Solution

The fourth proportional to 671.16, 1,005.12 and 427.35 is: 639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 1,005.12 = 427.35 : x
  2. Step 2: Convert to fraction form
    671.16/1,005.12 = 427.35/x
  3. Step 3: Cross multiply
    671.16x = 1,005.12 × 427.35
  4. Step 4: Simplify right side
    671.16x = 429,538.03
  5. Step 5: Solve for x
    x = 429,538.03/671.16
  6. Step 6: Final answer
    x = 639.99

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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.