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Finding the Fourth Proportional to 945.18, 1,415.34 and 809.10

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Solution

The fourth proportional to 945.18, 1,415.34 and 809.10 is: 1,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.18 : 1,415.34 = 809.10 : x
  2. Step 2: Convert to fraction form
    945.18/1,415.34 = 809.10/x
  3. Step 3: Cross multiply
    945.18x = 1,415.34 × 809.10
  4. Step 4: Simplify right side
    945.18x = 1,145,151.59
  5. Step 5: Solve for x
    x = 1,145,151.59/945.18
  6. Step 6: Final answer
    x = 1,211.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.