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Finding the Fourth Proportional to 1,424.49, 2,136.80 and 437.24

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Solution

The fourth proportional to 1,424.49, 2,136.80 and 437.24 is: 655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.49 : 2,136.80 = 437.24 : x
  2. Step 2: Convert to fraction form
    1,424.49/2,136.80 = 437.24/x
  3. Step 3: Cross multiply
    1,424.49x = 2,136.80 × 437.24
  4. Step 4: Simplify right side
    1,424.49x = 934,284.84
  5. Step 5: Solve for x
    x = 934,284.84/1,424.49
  6. Step 6: Final answer
    x = 655.87

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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.