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Finding the Fourth Proportional to 1,307.73, 1,962.10 and 576.79

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Solution

The fourth proportional to 1,307.73, 1,962.10 and 576.79 is: 865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,962.10 = 576.79 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,962.10 = 576.79/x
  3. Step 3: Cross multiply
    1,307.73x = 1,962.10 × 576.79
  4. Step 4: Simplify right side
    1,307.73x = 1,131,719.66
  5. Step 5: Solve for x
    x = 1,131,719.66/1,307.73
  6. Step 6: Final answer
    x = 865.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.