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Finding the Fourth Proportional to 707.54, 976.72 and 471.90

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Solution

The fourth proportional to 707.54, 976.72 and 471.90 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 976.72 = 471.90 : x
  2. Step 2: Convert to fraction form
    707.54/976.72 = 471.90/x
  3. Step 3: Cross multiply
    707.54x = 976.72 × 471.90
  4. Step 4: Simplify right side
    707.54x = 460,914.17
  5. Step 5: Solve for x
    x = 460,914.17/707.54
  6. Step 6: Final answer
    x = 651.43

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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.