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Finding the Fourth Proportional to 1,301.64, 1,950.26 and 642.63

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Solution

The fourth proportional to 1,301.64, 1,950.26 and 642.63 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.64 : 1,950.26 = 642.63 : x
  2. Step 2: Convert to fraction form
    1,301.64/1,950.26 = 642.63/x
  3. Step 3: Cross multiply
    1,301.64x = 1,950.26 × 642.63
  4. Step 4: Simplify right side
    1,301.64x = 1,253,303.30
  5. Step 5: Solve for x
    x = 1,253,303.30/1,301.64
  6. Step 6: Final answer
    x = 962.87

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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.