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Finding the Fourth Proportional to 1,218.60, 1,682.10 and 970.20

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Solution

The fourth proportional to 1,218.60, 1,682.10 and 970.20 is: 1,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.60 : 1,682.10 = 970.20 : x
  2. Step 2: Convert to fraction form
    1,218.60/1,682.10 = 970.20/x
  3. Step 3: Cross multiply
    1,218.60x = 1,682.10 × 970.20
  4. Step 4: Simplify right side
    1,218.60x = 1,631,973.42
  5. Step 5: Solve for x
    x = 1,631,973.42/1,218.60
  6. Step 6: Final answer
    x = 1,339.22

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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.