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Finding the Fourth Proportional to 1,302.40, 1,953.16 and 377.69

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Solution

The fourth proportional to 1,302.40, 1,953.16 and 377.69 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.40 : 1,953.16 = 377.69 : x
  2. Step 2: Convert to fraction form
    1,302.40/1,953.16 = 377.69/x
  3. Step 3: Cross multiply
    1,302.40x = 1,953.16 × 377.69
  4. Step 4: Simplify right side
    1,302.40x = 737,692.94
  5. Step 5: Solve for x
    x = 737,692.94/1,302.40
  6. Step 6: Final answer
    x = 566.41

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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.