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Finding the Fourth Proportional to 1,779.79, 2,669.68 and 805.89

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Solution

The fourth proportional to 1,779.79, 2,669.68 and 805.89 is: 1,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.79 : 2,669.68 = 805.89 : x
  2. Step 2: Convert to fraction form
    1,779.79/2,669.68 = 805.89/x
  3. Step 3: Cross multiply
    1,779.79x = 2,669.68 × 805.89
  4. Step 4: Simplify right side
    1,779.79x = 2,151,457.83
  5. Step 5: Solve for x
    x = 2,151,457.83/1,779.79
  6. Step 6: Final answer
    x = 1,208.83

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1.5x scale

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.