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Finding the Fourth Proportional to 665.74, 919.25 and 595.67

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Solution

The fourth proportional to 665.74, 919.25 and 595.67 is: 822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 919.25 = 595.67 : x
  2. Step 2: Convert to fraction form
    665.74/919.25 = 595.67/x
  3. Step 3: Cross multiply
    665.74x = 919.25 × 595.67
  4. Step 4: Simplify right side
    665.74x = 547,569.65
  5. Step 5: Solve for x
    x = 547,569.65/665.74
  6. Step 6: Final answer
    x = 822.50

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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.