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Finding the Fourth Proportional to 1,289.53, 1,779.50 and 700.05

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Solution

The fourth proportional to 1,289.53, 1,779.50 and 700.05 is: 966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.53 : 1,779.50 = 700.05 : x
  2. Step 2: Convert to fraction form
    1,289.53/1,779.50 = 700.05/x
  3. Step 3: Cross multiply
    1,289.53x = 1,779.50 × 700.05
  4. Step 4: Simplify right side
    1,289.53x = 1,245,738.98
  5. Step 5: Solve for x
    x = 1,245,738.98/1,289.53
  6. Step 6: Final answer
    x = 966.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.