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Finding the Fourth Proportional to 1,779.48, 2,669.68 and 683.93

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Solution

The fourth proportional to 1,779.48, 2,669.68 and 683.93 is: 1,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.48 : 2,669.68 = 683.93 : x
  2. Step 2: Convert to fraction form
    1,779.48/2,669.68 = 683.93/x
  3. Step 3: Cross multiply
    1,779.48x = 2,669.68 × 683.93
  4. Step 4: Simplify right side
    1,779.48x = 1,825,874.24
  5. Step 5: Solve for x
    x = 1,825,874.24/1,779.48
  6. Step 6: Final answer
    x = 1,026.07

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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.