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Finding the Fourth Proportional to 1,779.46, 2,666.76 and 803.29

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Solution

The fourth proportional to 1,779.46, 2,666.76 and 803.29 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.46 : 2,666.76 = 803.29 : x
  2. Step 2: Convert to fraction form
    1,779.46/2,666.76 = 803.29/x
  3. Step 3: Cross multiply
    1,779.46x = 2,666.76 × 803.29
  4. Step 4: Simplify right side
    1,779.46x = 2,142,181.64
  5. Step 5: Solve for x
    x = 2,142,181.64/1,779.46
  6. Step 6: Final answer
    x = 1,203.84

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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.