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Finding the Fourth Proportional to 1,266.68, 1,740.46 and 1,033.40

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Solution

The fourth proportional to 1,266.68, 1,740.46 and 1,033.40 is: 1,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.68 : 1,740.46 = 1,033.40 : x
  2. Step 2: Convert to fraction form
    1,266.68/1,740.46 = 1,033.40/x
  3. Step 3: Cross multiply
    1,266.68x = 1,740.46 × 1,033.40
  4. Step 4: Simplify right side
    1,266.68x = 1,798,591.36
  5. Step 5: Solve for x
    x = 1,798,591.36/1,266.68
  6. Step 6: Final answer
    x = 1,419.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.