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Finding the Fourth Proportional to 1,377.07, 1,899.40 and 852.79

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Solution

The fourth proportional to 1,377.07, 1,899.40 and 852.79 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.07 : 1,899.40 = 852.79 : x
  2. Step 2: Convert to fraction form
    1,377.07/1,899.40 = 852.79/x
  3. Step 3: Cross multiply
    1,377.07x = 1,899.40 × 852.79
  4. Step 4: Simplify right side
    1,377.07x = 1,619,785.06
  5. Step 5: Solve for x
    x = 1,619,785.06/1,377.07
  6. Step 6: Final answer
    x = 1,176.25

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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.