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Finding the Fourth Proportional to 1,785.06, 2,677.91 and 689.33

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Solution

The fourth proportional to 1,785.06, 2,677.91 and 689.33 is: 1,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.06 : 2,677.91 = 689.33 : x
  2. Step 2: Convert to fraction form
    1,785.06/2,677.91 = 689.33/x
  3. Step 3: Cross multiply
    1,785.06x = 2,677.91 × 689.33
  4. Step 4: Simplify right side
    1,785.06x = 1,845,966.95
  5. Step 5: Solve for x
    x = 1,845,966.95/1,785.06
  6. Step 6: Final answer
    x = 1,034.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.