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Finding the Fourth Proportional to 651.10, 975.30 and 651.10

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Solution

The fourth proportional to 651.10, 975.30 and 651.10 is: 975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.10 : 975.30 = 651.10 : x
  2. Step 2: Convert to fraction form
    651.10/975.30 = 651.10/x
  3. Step 3: Cross multiply
    651.10x = 975.30 × 651.10
  4. Step 4: Simplify right side
    651.10x = 635,017.83
  5. Step 5: Solve for x
    x = 635,017.83/651.10
  6. Step 6: Final answer
    x = 975.30

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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.