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Finding the Fourth Proportional to 651.22, 975.60 and 578.32

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Solution

The fourth proportional to 651.22, 975.60 and 578.32 is: 866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.22 : 975.60 = 578.32 : x
  2. Step 2: Convert to fraction form
    651.22/975.60 = 578.32/x
  3. Step 3: Cross multiply
    651.22x = 975.60 × 578.32
  4. Step 4: Simplify right side
    651.22x = 564,208.99
  5. Step 5: Solve for x
    x = 564,208.99/651.22
  6. Step 6: Final answer
    x = 866.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.