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Finding the Fourth Proportional to 1,409.94, 1,945.84 and 820.44

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Solution

The fourth proportional to 1,409.94, 1,945.84 and 820.44 is: 1,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.94 : 1,945.84 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,409.94/1,945.84 = 820.44/x
  3. Step 3: Cross multiply
    1,409.94x = 1,945.84 × 820.44
  4. Step 4: Simplify right side
    1,409.94x = 1,596,444.97
  5. Step 5: Solve for x
    x = 1,596,444.97/1,409.94
  6. Step 6: Final answer
    x = 1,132.28

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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.