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Finding the Fourth Proportional to 1,260.63, 1,889.60 and 643.75

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Solution

The fourth proportional to 1,260.63, 1,889.60 and 643.75 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.63 : 1,889.60 = 643.75 : x
  2. Step 2: Convert to fraction form
    1,260.63/1,889.60 = 643.75/x
  3. Step 3: Cross multiply
    1,260.63x = 1,889.60 × 643.75
  4. Step 4: Simplify right side
    1,260.63x = 1,216,422.06
  5. Step 5: Solve for x
    x = 1,216,422.06/1,260.63
  6. Step 6: Final answer
    x = 964.93

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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.