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Finding the Fourth Proportional to 1,663.48, 2,296.38 and 964.72

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Solution

The fourth proportional to 1,663.48, 2,296.38 and 964.72 is: 1,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.48 : 2,296.38 = 964.72 : x
  2. Step 2: Convert to fraction form
    1,663.48/2,296.38 = 964.72/x
  3. Step 3: Cross multiply
    1,663.48x = 2,296.38 × 964.72
  4. Step 4: Simplify right side
    1,663.48x = 2,215,363.71
  5. Step 5: Solve for x
    x = 2,215,363.71/1,663.48
  6. Step 6: Final answer
    x = 1,331.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.