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Finding the Fourth Proportional to 1,208.15, 1,810.62 and 623.14

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Solution

The fourth proportional to 1,208.15, 1,810.62 and 623.14 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.15 : 1,810.62 = 623.14 : x
  2. Step 2: Convert to fraction form
    1,208.15/1,810.62 = 623.14/x
  3. Step 3: Cross multiply
    1,208.15x = 1,810.62 × 623.14
  4. Step 4: Simplify right side
    1,208.15x = 1,128,269.75
  5. Step 5: Solve for x
    x = 1,128,269.75/1,208.15
  6. Step 6: Final answer
    x = 933.88

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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.