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Finding the Fourth Proportional to 693, 957.12 and 471.60

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Solution

The fourth proportional to 693, 957.12 and 471.60 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 957.12 = 471.60 : x
  2. Step 2: Convert to fraction form
    693/957.12 = 471.60/x
  3. Step 3: Cross multiply
    693x = 957.12 × 471.60
  4. Step 4: Simplify right side
    693x = 451,377.79
  5. Step 5: Solve for x
    x = 451,377.79/693
  6. Step 6: Final answer
    x = 651.34

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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.