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Finding the Fourth Proportional to 1,296.36, 1,942.92 and 473.76

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Solution

The fourth proportional to 1,296.36, 1,942.92 and 473.76 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.36 : 1,942.92 = 473.76 : x
  2. Step 2: Convert to fraction form
    1,296.36/1,942.92 = 473.76/x
  3. Step 3: Cross multiply
    1,296.36x = 1,942.92 × 473.76
  4. Step 4: Simplify right side
    1,296.36x = 920,477.78
  5. Step 5: Solve for x
    x = 920,477.78/1,296.36
  6. Step 6: Final answer
    x = 710.05

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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.