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Finding the Fourth Proportional to 783.58, 1,175.41 and 296.67

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Solution

The fourth proportional to 783.58, 1,175.41 and 296.67 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.58 : 1,175.41 = 296.67 : x
  2. Step 2: Convert to fraction form
    783.58/1,175.41 = 296.67/x
  3. Step 3: Cross multiply
    783.58x = 1,175.41 × 296.67
  4. Step 4: Simplify right side
    783.58x = 348,708.88
  5. Step 5: Solve for x
    x = 348,708.88/783.58
  6. Step 6: Final answer
    x = 445.02

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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.