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Finding the Fourth Proportional to 1,623.99, 2,436.63 and 649.96

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Solution

The fourth proportional to 1,623.99, 2,436.63 and 649.96 is: 975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.99 : 2,436.63 = 649.96 : x
  2. Step 2: Convert to fraction form
    1,623.99/2,436.63 = 649.96/x
  3. Step 3: Cross multiply
    1,623.99x = 2,436.63 × 649.96
  4. Step 4: Simplify right side
    1,623.99x = 1,583,712.03
  5. Step 5: Solve for x
    x = 1,583,712.03/1,623.99
  6. Step 6: Final answer
    x = 975.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.