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Finding the Fourth Proportional to 1,779.42, 2,668.59 and 683.16

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Solution

The fourth proportional to 1,779.42, 2,668.59 and 683.16 is: 1,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.42 : 2,668.59 = 683.16 : x
  2. Step 2: Convert to fraction form
    1,779.42/2,668.59 = 683.16/x
  3. Step 3: Cross multiply
    1,779.42x = 2,668.59 × 683.16
  4. Step 4: Simplify right side
    1,779.42x = 1,823,073.94
  5. Step 5: Solve for x
    x = 1,823,073.94/1,779.42
  6. Step 6: Final answer
    x = 1,024.53

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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.