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Finding the Fourth Proportional to 1,409.24, 1,944.92 and 885.20

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Solution

The fourth proportional to 1,409.24, 1,944.92 and 885.20 is: 1,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.24 : 1,944.92 = 885.20 : x
  2. Step 2: Convert to fraction form
    1,409.24/1,944.92 = 885.20/x
  3. Step 3: Cross multiply
    1,409.24x = 1,944.92 × 885.20
  4. Step 4: Simplify right side
    1,409.24x = 1,721,643.18
  5. Step 5: Solve for x
    x = 1,721,643.18/1,409.24
  6. Step 6: Final answer
    x = 1,221.68

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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.