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Finding the Fourth Proportional to 1,420.49, 1,959.88 and 853.17

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Solution

The fourth proportional to 1,420.49, 1,959.88 and 853.17 is: 1,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.49 : 1,959.88 = 853.17 : x
  2. Step 2: Convert to fraction form
    1,420.49/1,959.88 = 853.17/x
  3. Step 3: Cross multiply
    1,420.49x = 1,959.88 × 853.17
  4. Step 4: Simplify right side
    1,420.49x = 1,672,113.59
  5. Step 5: Solve for x
    x = 1,672,113.59/1,420.49
  6. Step 6: Final answer
    x = 1,177.14

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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.