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Finding the Fourth Proportional to 1,295.51, 1,942.16 and 564.55

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Solution

The fourth proportional to 1,295.51, 1,942.16 and 564.55 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.51 : 1,942.16 = 564.55 : x
  2. Step 2: Convert to fraction form
    1,295.51/1,942.16 = 564.55/x
  3. Step 3: Cross multiply
    1,295.51x = 1,942.16 × 564.55
  4. Step 4: Simplify right side
    1,295.51x = 1,096,442.98
  5. Step 5: Solve for x
    x = 1,096,442.98/1,295.51
  6. Step 6: Final answer
    x = 846.34

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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.