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Finding the Fourth Proportional to 945.40, 1,414.26 and 700.20

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Solution

The fourth proportional to 945.40, 1,414.26 and 700.20 is: 1,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,414.26 = 700.20 : x
  2. Step 2: Convert to fraction form
    945.40/1,414.26 = 700.20/x
  3. Step 3: Cross multiply
    945.40x = 1,414.26 × 700.20
  4. Step 4: Simplify right side
    945.40x = 990,264.85
  5. Step 5: Solve for x
    x = 990,264.85/945.40
  6. Step 6: Final answer
    x = 1,047.46

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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.