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Finding the Fourth Proportional to 948.62, 1,420.16 and 706.22

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Solution

The fourth proportional to 948.62, 1,420.16 and 706.22 is: 1,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.62 : 1,420.16 = 706.22 : x
  2. Step 2: Convert to fraction form
    948.62/1,420.16 = 706.22/x
  3. Step 3: Cross multiply
    948.62x = 1,420.16 × 706.22
  4. Step 4: Simplify right side
    948.62x = 1,002,945.40
  5. Step 5: Solve for x
    x = 1,002,945.40/948.62
  6. Step 6: Final answer
    x = 1,057.27

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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.