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Finding the Fourth Proportional to 1,298.74, 1,948.22 and 374.31

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Solution

The fourth proportional to 1,298.74, 1,948.22 and 374.31 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.74 : 1,948.22 = 374.31 : x
  2. Step 2: Convert to fraction form
    1,298.74/1,948.22 = 374.31/x
  3. Step 3: Cross multiply
    1,298.74x = 1,948.22 × 374.31
  4. Step 4: Simplify right side
    1,298.74x = 729,236.36
  5. Step 5: Solve for x
    x = 729,236.36/1,298.74
  6. Step 6: Final answer
    x = 561.50

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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.