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Finding the Fourth Proportional to 1,406.65, 2,110.03 and 469.62

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Solution

The fourth proportional to 1,406.65, 2,110.03 and 469.62 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.65 : 2,110.03 = 469.62 : x
  2. Step 2: Convert to fraction form
    1,406.65/2,110.03 = 469.62/x
  3. Step 3: Cross multiply
    1,406.65x = 2,110.03 × 469.62
  4. Step 4: Simplify right side
    1,406.65x = 990,911.11
  5. Step 5: Solve for x
    x = 990,911.11/1,406.65
  6. Step 6: Final answer
    x = 704.45

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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.