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Finding the Fourth Proportional to 1,298.86, 1,947.06 and 432.56

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Solution

The fourth proportional to 1,298.86, 1,947.06 and 432.56 is: 648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.86 : 1,947.06 = 432.56 : x
  2. Step 2: Convert to fraction form
    1,298.86/1,947.06 = 432.56/x
  3. Step 3: Cross multiply
    1,298.86x = 1,947.06 × 432.56
  4. Step 4: Simplify right side
    1,298.86x = 842,225.14
  5. Step 5: Solve for x
    x = 842,225.14/1,298.86
  6. Step 6: Final answer
    x = 648.44

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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.