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Finding the Fourth Proportional to 1,348.47, 1,860.16 and 850.93

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Solution

The fourth proportional to 1,348.47, 1,860.16 and 850.93 is: 1,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.47 : 1,860.16 = 850.93 : x
  2. Step 2: Convert to fraction form
    1,348.47/1,860.16 = 850.93/x
  3. Step 3: Cross multiply
    1,348.47x = 1,860.16 × 850.93
  4. Step 4: Simplify right side
    1,348.47x = 1,582,865.95
  5. Step 5: Solve for x
    x = 1,582,865.95/1,348.47
  6. Step 6: Final answer
    x = 1,173.82

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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.