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Finding the Fourth Proportional to 1,460.49, 2,014.90 and 963.37

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Solution

The fourth proportional to 1,460.49, 2,014.90 and 963.37 is: 1,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.49 : 2,014.90 = 963.37 : x
  2. Step 2: Convert to fraction form
    1,460.49/2,014.90 = 963.37/x
  3. Step 3: Cross multiply
    1,460.49x = 2,014.90 × 963.37
  4. Step 4: Simplify right side
    1,460.49x = 1,941,094.21
  5. Step 5: Solve for x
    x = 1,941,094.21/1,460.49
  6. Step 6: Final answer
    x = 1,329.07

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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.