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Finding the Fourth Proportional to 1,212.37, 1,818.56 and 432.40

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Solution

The fourth proportional to 1,212.37, 1,818.56 and 432.40 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.37 : 1,818.56 = 432.40 : x
  2. Step 2: Convert to fraction form
    1,212.37/1,818.56 = 432.40/x
  3. Step 3: Cross multiply
    1,212.37x = 1,818.56 × 432.40
  4. Step 4: Simplify right side
    1,212.37x = 786,345.34
  5. Step 5: Solve for x
    x = 786,345.34/1,212.37
  6. Step 6: Final answer
    x = 648.60

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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.