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Finding the Fourth Proportional to 1,406.37, 2,109.83 and 469.38

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Solution

The fourth proportional to 1,406.37, 2,109.83 and 469.38 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.37 : 2,109.83 = 469.38 : x
  2. Step 2: Convert to fraction form
    1,406.37/2,109.83 = 469.38/x
  3. Step 3: Cross multiply
    1,406.37x = 2,109.83 × 469.38
  4. Step 4: Simplify right side
    1,406.37x = 990,312.01
  5. Step 5: Solve for x
    x = 990,312.01/1,406.37
  6. Step 6: Final answer
    x = 704.16

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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.