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Finding the Fourth Proportional to 1,430.22, 1,973.73 and 809.22

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Solution

The fourth proportional to 1,430.22, 1,973.73 and 809.22 is: 1,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.22 : 1,973.73 = 809.22 : x
  2. Step 2: Convert to fraction form
    1,430.22/1,973.73 = 809.22/x
  3. Step 3: Cross multiply
    1,430.22x = 1,973.73 × 809.22
  4. Step 4: Simplify right side
    1,430.22x = 1,597,181.79
  5. Step 5: Solve for x
    x = 1,597,181.79/1,430.22
  6. Step 6: Final answer
    x = 1,116.74

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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.