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Finding the Fourth Proportional to 651.44, 899.60 and 563.32

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Solution

The fourth proportional to 651.44, 899.60 and 563.32 is: 777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.44 : 899.60 = 563.32 : x
  2. Step 2: Convert to fraction form
    651.44/899.60 = 563.32/x
  3. Step 3: Cross multiply
    651.44x = 899.60 × 563.32
  4. Step 4: Simplify right side
    651.44x = 506,762.67
  5. Step 5: Solve for x
    x = 506,762.67/651.44
  6. Step 6: Final answer
    x = 777.91

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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.