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Finding the Fourth Proportional to 1,303.28, 1,954.61 and 378.63

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Solution

The fourth proportional to 1,303.28, 1,954.61 and 378.63 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.28 : 1,954.61 = 378.63 : x
  2. Step 2: Convert to fraction form
    1,303.28/1,954.61 = 378.63/x
  3. Step 3: Cross multiply
    1,303.28x = 1,954.61 × 378.63
  4. Step 4: Simplify right side
    1,303.28x = 740,062.32
  5. Step 5: Solve for x
    x = 740,062.32/1,303.28
  6. Step 6: Final answer
    x = 567.85

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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.