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Finding the Fourth Proportional to 1,302.91, 1,954.64 and 378.50

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Solution

The fourth proportional to 1,302.91, 1,954.64 and 378.50 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.91 : 1,954.64 = 378.50 : x
  2. Step 2: Convert to fraction form
    1,302.91/1,954.64 = 378.50/x
  3. Step 3: Cross multiply
    1,302.91x = 1,954.64 × 378.50
  4. Step 4: Simplify right side
    1,302.91x = 739,822.41
  5. Step 5: Solve for x
    x = 739,822.41/1,302.91
  6. Step 6: Final answer
    x = 567.82

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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.