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Finding the Fourth Proportional to 1,298.24, 1,947.05 and 432.44

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Solution

The fourth proportional to 1,298.24, 1,947.05 and 432.44 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.24 : 1,947.05 = 432.44 : x
  2. Step 2: Convert to fraction form
    1,298.24/1,947.05 = 432.44/x
  3. Step 3: Cross multiply
    1,298.24x = 1,947.05 × 432.44
  4. Step 4: Simplify right side
    1,298.24x = 841,980.14
  5. Step 5: Solve for x
    x = 841,980.14/1,298.24
  6. Step 6: Final answer
    x = 648.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.