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Finding the Fourth Proportional to 1,419.66, 1,959.48 and 830.58

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Solution

The fourth proportional to 1,419.66, 1,959.48 and 830.58 is: 1,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.66 : 1,959.48 = 830.58 : x
  2. Step 2: Convert to fraction form
    1,419.66/1,959.48 = 830.58/x
  3. Step 3: Cross multiply
    1,419.66x = 1,959.48 × 830.58
  4. Step 4: Simplify right side
    1,419.66x = 1,627,504.90
  5. Step 5: Solve for x
    x = 1,627,504.90/1,419.66
  6. Step 6: Final answer
    x = 1,146.40

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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.