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Finding the Fourth Proportional to 645.65, 890.60 and 562.95

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Solution

The fourth proportional to 645.65, 890.60 and 562.95 is: 776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 890.60 = 562.95 : x
  2. Step 2: Convert to fraction form
    645.65/890.60 = 562.95/x
  3. Step 3: Cross multiply
    645.65x = 890.60 × 562.95
  4. Step 4: Simplify right side
    645.65x = 501,360.46
  5. Step 5: Solve for x
    x = 501,360.46/645.65
  6. Step 6: Final answer
    x = 776.53

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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.