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Finding the Fourth Proportional to 1,290.76, 1,779.30 and 1,102.84

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Solution

The fourth proportional to 1,290.76, 1,779.30 and 1,102.84 is: 1,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.76 : 1,779.30 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    1,290.76/1,779.30 = 1,102.84/x
  3. Step 3: Cross multiply
    1,290.76x = 1,779.30 × 1,102.84
  4. Step 4: Simplify right side
    1,290.76x = 1,962,283.21
  5. Step 5: Solve for x
    x = 1,962,283.21/1,290.76
  6. Step 6: Final answer
    x = 1,520.25

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