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Finding the Fourth Proportional to 1,415.18, 1,952.73 and 809.48

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Solution

The fourth proportional to 1,415.18, 1,952.73 and 809.48 is: 1,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.18 : 1,952.73 = 809.48 : x
  2. Step 2: Convert to fraction form
    1,415.18/1,952.73 = 809.48/x
  3. Step 3: Cross multiply
    1,415.18x = 1,952.73 × 809.48
  4. Step 4: Simplify right side
    1,415.18x = 1,580,695.88
  5. Step 5: Solve for x
    x = 1,580,695.88/1,415.18
  6. Step 6: Final answer
    x = 1,116.96

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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.