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Finding the Fourth Proportional to 651.02, 975.26 and 578.30

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Solution

The fourth proportional to 651.02, 975.26 and 578.30 is: 866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.02 : 975.26 = 578.30 : x
  2. Step 2: Convert to fraction form
    651.02/975.26 = 578.30/x
  3. Step 3: Cross multiply
    651.02x = 975.26 × 578.30
  4. Step 4: Simplify right side
    651.02x = 563,989.43
  5. Step 5: Solve for x
    x = 563,989.43/651.02
  6. Step 6: Final answer
    x = 866.32

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