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Finding the Fourth Proportional to 1,295.52, 1,942.64 and 564.78

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Solution

The fourth proportional to 1,295.52, 1,942.64 and 564.78 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.52 : 1,942.64 = 564.78 : x
  2. Step 2: Convert to fraction form
    1,295.52/1,942.64 = 564.78/x
  3. Step 3: Cross multiply
    1,295.52x = 1,942.64 × 564.78
  4. Step 4: Simplify right side
    1,295.52x = 1,097,164.22
  5. Step 5: Solve for x
    x = 1,097,164.22/1,295.52
  6. Step 6: Final answer
    x = 846.89

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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.