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Finding the Fourth Proportional to 693.02, 955.50 and 506.36

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Solution

The fourth proportional to 693.02, 955.50 and 506.36 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.02 : 955.50 = 506.36 : x
  2. Step 2: Convert to fraction form
    693.02/955.50 = 506.36/x
  3. Step 3: Cross multiply
    693.02x = 955.50 × 506.36
  4. Step 4: Simplify right side
    693.02x = 483,826.98
  5. Step 5: Solve for x
    x = 483,826.98/693.02
  6. Step 6: Final answer
    x = 698.14

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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.