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Finding the Fourth Proportional to 785.58, 1,178.86 and 299.04

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Solution

The fourth proportional to 785.58, 1,178.86 and 299.04 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.58 : 1,178.86 = 299.04 : x
  2. Step 2: Convert to fraction form
    785.58/1,178.86 = 299.04/x
  3. Step 3: Cross multiply
    785.58x = 1,178.86 × 299.04
  4. Step 4: Simplify right side
    785.58x = 352,526.29
  5. Step 5: Solve for x
    x = 352,526.29/785.58
  6. Step 6: Final answer
    x = 448.75

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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.