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Finding the Fourth Proportional to 651.65, 897.08 and 504.23

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Solution

The fourth proportional to 651.65, 897.08 and 504.23 is: 694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 897.08 = 504.23 : x
  2. Step 2: Convert to fraction form
    651.65/897.08 = 504.23/x
  3. Step 3: Cross multiply
    651.65x = 897.08 × 504.23
  4. Step 4: Simplify right side
    651.65x = 452,327.64
  5. Step 5: Solve for x
    x = 452,327.64/651.65
  6. Step 6: Final answer
    x = 694.13

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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.