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Finding the Fourth Proportional to 1,419.86, 1,959.23 and 790.34

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Solution

The fourth proportional to 1,419.86, 1,959.23 and 790.34 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.86 : 1,959.23 = 790.34 : x
  2. Step 2: Convert to fraction form
    1,419.86/1,959.23 = 790.34/x
  3. Step 3: Cross multiply
    1,419.86x = 1,959.23 × 790.34
  4. Step 4: Simplify right side
    1,419.86x = 1,548,457.84
  5. Step 5: Solve for x
    x = 1,548,457.84/1,419.86
  6. Step 6: Final answer
    x = 1,090.57

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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.