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Finding the Fourth Proportional to 1,298.04, 1,948.22 and 682.18

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Solution

The fourth proportional to 1,298.04, 1,948.22 and 682.18 is: 1,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.04 : 1,948.22 = 682.18 : x
  2. Step 2: Convert to fraction form
    1,298.04/1,948.22 = 682.18/x
  3. Step 3: Cross multiply
    1,298.04x = 1,948.22 × 682.18
  4. Step 4: Simplify right side
    1,298.04x = 1,329,036.72
  5. Step 5: Solve for x
    x = 1,329,036.72/1,298.04
  6. Step 6: Final answer
    x = 1,023.88

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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.