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Finding the Fourth Proportional to 1,437.23, 2,154.53 and 512.62

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Solution

The fourth proportional to 1,437.23, 2,154.53 and 512.62 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.23 : 2,154.53 = 512.62 : x
  2. Step 2: Convert to fraction form
    1,437.23/2,154.53 = 512.62/x
  3. Step 3: Cross multiply
    1,437.23x = 2,154.53 × 512.62
  4. Step 4: Simplify right side
    1,437.23x = 1,104,451.06
  5. Step 5: Solve for x
    x = 1,104,451.06/1,437.23
  6. Step 6: Final answer
    x = 768.46

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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.