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Finding the Fourth Proportional to 1,472.21, 2,031.69 and 809.07

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Solution

The fourth proportional to 1,472.21, 2,031.69 and 809.07 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.21 : 2,031.69 = 809.07 : x
  2. Step 2: Convert to fraction form
    1,472.21/2,031.69 = 809.07/x
  3. Step 3: Cross multiply
    1,472.21x = 2,031.69 × 809.07
  4. Step 4: Simplify right side
    1,472.21x = 1,643,779.43
  5. Step 5: Solve for x
    x = 1,643,779.43/1,472.21
  6. Step 6: Final answer
    x = 1,116.54

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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.