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Finding the Fourth Proportional to 1,663.61, 2,295.75 and 964.98

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Solution

The fourth proportional to 1,663.61, 2,295.75 and 964.98 is: 1,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.61 : 2,295.75 = 964.98 : x
  2. Step 2: Convert to fraction form
    1,663.61/2,295.75 = 964.98/x
  3. Step 3: Cross multiply
    1,663.61x = 2,295.75 × 964.98
  4. Step 4: Simplify right side
    1,663.61x = 2,215,352.84
  5. Step 5: Solve for x
    x = 2,215,352.84/1,663.61
  6. Step 6: Final answer
    x = 1,331.66

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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.