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Finding the Fourth Proportional to 1,420.79, 1,960.93 and 853.66

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Solution

The fourth proportional to 1,420.79, 1,960.93 and 853.66 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.79 : 1,960.93 = 853.66 : x
  2. Step 2: Convert to fraction form
    1,420.79/1,960.93 = 853.66/x
  3. Step 3: Cross multiply
    1,420.79x = 1,960.93 × 853.66
  4. Step 4: Simplify right side
    1,420.79x = 1,673,978.94
  5. Step 5: Solve for x
    x = 1,673,978.94/1,420.79
  6. Step 6: Final answer
    x = 1,178.20

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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.