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Finding the Fourth Proportional to 1,307.07, 1,960.29 and 382.43

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Solution

The fourth proportional to 1,307.07, 1,960.29 and 382.43 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.07 : 1,960.29 = 382.43 : x
  2. Step 2: Convert to fraction form
    1,307.07/1,960.29 = 382.43/x
  3. Step 3: Cross multiply
    1,307.07x = 1,960.29 × 382.43
  4. Step 4: Simplify right side
    1,307.07x = 749,663.90
  5. Step 5: Solve for x
    x = 749,663.90/1,307.07
  6. Step 6: Final answer
    x = 573.55

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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.