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Finding the Fourth Proportional to 1,419.98, 1,959.57 and 790.47

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Solution

The fourth proportional to 1,419.98, 1,959.57 and 790.47 is: 1,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.98 : 1,959.57 = 790.47 : x
  2. Step 2: Convert to fraction form
    1,419.98/1,959.57 = 790.47/x
  3. Step 3: Cross multiply
    1,419.98x = 1,959.57 × 790.47
  4. Step 4: Simplify right side
    1,419.98x = 1,548,981.30
  5. Step 5: Solve for x
    x = 1,548,981.30/1,419.98
  6. Step 6: Final answer
    x = 1,090.85

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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.