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Finding the Fourth Proportional to 712.10, 982.87 and 476.06

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Solution

The fourth proportional to 712.10, 982.87 and 476.06 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 982.87 = 476.06 : x
  2. Step 2: Convert to fraction form
    712.10/982.87 = 476.06/x
  3. Step 3: Cross multiply
    712.10x = 982.87 × 476.06
  4. Step 4: Simplify right side
    712.10x = 467,905.09
  5. Step 5: Solve for x
    x = 467,905.09/712.10
  6. Step 6: Final answer
    x = 657.08

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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.