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Finding the Fourth Proportional to 751.73, 1,122.08 and 647.87

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Solution

The fourth proportional to 751.73, 1,122.08 and 647.87 is: 967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.73 : 1,122.08 = 647.87 : x
  2. Step 2: Convert to fraction form
    751.73/1,122.08 = 647.87/x
  3. Step 3: Cross multiply
    751.73x = 1,122.08 × 647.87
  4. Step 4: Simplify right side
    751.73x = 726,953.12
  5. Step 5: Solve for x
    x = 726,953.12/751.73
  6. Step 6: Final answer
    x = 967.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.