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Finding the Fourth Proportional to 1,208.57, 1,812.25 and 623.84

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Solution

The fourth proportional to 1,208.57, 1,812.25 and 623.84 is: 935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.57 : 1,812.25 = 623.84 : x
  2. Step 2: Convert to fraction form
    1,208.57/1,812.25 = 623.84/x
  3. Step 3: Cross multiply
    1,208.57x = 1,812.25 × 623.84
  4. Step 4: Simplify right side
    1,208.57x = 1,130,557.01
  5. Step 5: Solve for x
    x = 1,130,557.01/1,208.57
  6. Step 6: Final answer
    x = 935.45

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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.