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Finding the Fourth Proportional to 1,406.26, 2,109.00 and 528.69

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Solution

The fourth proportional to 1,406.26, 2,109.00 and 528.69 is: 792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.26 : 2,109.00 = 528.69 : x
  2. Step 2: Convert to fraction form
    1,406.26/2,109.00 = 528.69/x
  3. Step 3: Cross multiply
    1,406.26x = 2,109.00 × 528.69
  4. Step 4: Simplify right side
    1,406.26x = 1,115,017.10
  5. Step 5: Solve for x
    x = 1,115,017.10/1,406.26
  6. Step 6: Final answer
    x = 792.90

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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.