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Finding the Fourth Proportional to 651.27, 975.64 and 578.55

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Solution

The fourth proportional to 651.27, 975.64 and 578.55 is: 866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.27 : 975.64 = 578.55 : x
  2. Step 2: Convert to fraction form
    651.27/975.64 = 578.55/x
  3. Step 3: Cross multiply
    651.27x = 975.64 × 578.55
  4. Step 4: Simplify right side
    651.27x = 564,456.52
  5. Step 5: Solve for x
    x = 564,456.52/651.27
  6. Step 6: Final answer
    x = 866.70

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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.