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Finding the Fourth Proportional to 1,762.74, 2,642.48 and 788.04

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Solution

The fourth proportional to 1,762.74, 2,642.48 and 788.04 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.74 : 2,642.48 = 788.04 : x
  2. Step 2: Convert to fraction form
    1,762.74/2,642.48 = 788.04/x
  3. Step 3: Cross multiply
    1,762.74x = 2,642.48 × 788.04
  4. Step 4: Simplify right side
    1,762.74x = 2,082,379.94
  5. Step 5: Solve for x
    x = 2,082,379.94/1,762.74
  6. Step 6: Final answer
    x = 1,181.33

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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.