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Finding the Fourth Proportional to 1,200.32, 1,800.47 and 334.63

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Solution

The fourth proportional to 1,200.32, 1,800.47 and 334.63 is: 501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.32 : 1,800.47 = 334.63 : x
  2. Step 2: Convert to fraction form
    1,200.32/1,800.47 = 334.63/x
  3. Step 3: Cross multiply
    1,200.32x = 1,800.47 × 334.63
  4. Step 4: Simplify right side
    1,200.32x = 602,482.27
  5. Step 5: Solve for x
    x = 602,482.27/1,200.32
  6. Step 6: Final answer
    x = 501.94

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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.