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Finding the Fourth Proportional to 942.60, 1,411.10 and 700.20

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Solution

The fourth proportional to 942.60, 1,411.10 and 700.20 is: 1,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.60 : 1,411.10 = 700.20 : x
  2. Step 2: Convert to fraction form
    942.60/1,411.10 = 700.20/x
  3. Step 3: Cross multiply
    942.60x = 1,411.10 × 700.20
  4. Step 4: Simplify right side
    942.60x = 988,052.22
  5. Step 5: Solve for x
    x = 988,052.22/942.60
  6. Step 6: Final answer
    x = 1,048.22

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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.