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Finding the Fourth Proportional to 1,779.32, 2,668.94 and 546.72

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Solution

The fourth proportional to 1,779.32, 2,668.94 and 546.72 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.32 : 2,668.94 = 546.72 : x
  2. Step 2: Convert to fraction form
    1,779.32/2,668.94 = 546.72/x
  3. Step 3: Cross multiply
    1,779.32x = 2,668.94 × 546.72
  4. Step 4: Simplify right side
    1,779.32x = 1,459,162.88
  5. Step 5: Solve for x
    x = 1,459,162.88/1,779.32
  6. Step 6: Final answer
    x = 820.07

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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.