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Finding the Fourth Proportional to 1,663.84, 2,295.84 and 965.08

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Solution

The fourth proportional to 1,663.84, 2,295.84 and 965.08 is: 1,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,295.84 = 965.08 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,295.84 = 965.08/x
  3. Step 3: Cross multiply
    1,663.84x = 2,295.84 × 965.08
  4. Step 4: Simplify right side
    1,663.84x = 2,215,669.27
  5. Step 5: Solve for x
    x = 2,215,669.27/1,663.84
  6. Step 6: Final answer
    x = 1,331.66

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1.5x scale

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.