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Finding the Fourth Proportional to 1,263.47, 1,743.80 and 950.30

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Solution

The fourth proportional to 1,263.47, 1,743.80 and 950.30 is: 1,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.47 : 1,743.80 = 950.30 : x
  2. Step 2: Convert to fraction form
    1,263.47/1,743.80 = 950.30/x
  3. Step 3: Cross multiply
    1,263.47x = 1,743.80 × 950.30
  4. Step 4: Simplify right side
    1,263.47x = 1,657,134.23
  5. Step 5: Solve for x
    x = 1,657,134.23/1,263.47
  6. Step 6: Final answer
    x = 1,311.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.