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Finding the Fourth Proportional to 707.70, 977.04 and 471.96

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Solution

The fourth proportional to 707.70, 977.04 and 471.96 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.70 : 977.04 = 471.96 : x
  2. Step 2: Convert to fraction form
    707.70/977.04 = 471.96/x
  3. Step 3: Cross multiply
    707.70x = 977.04 × 471.96
  4. Step 4: Simplify right side
    707.70x = 461,123.80
  5. Step 5: Solve for x
    x = 461,123.80/707.70
  6. Step 6: Final answer
    x = 651.58

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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.