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Finding the Fourth Proportional to 786.47, 1,179.53 and 353.75

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Solution

The fourth proportional to 786.47, 1,179.53 and 353.75 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.47 : 1,179.53 = 353.75 : x
  2. Step 2: Convert to fraction form
    786.47/1,179.53 = 353.75/x
  3. Step 3: Cross multiply
    786.47x = 1,179.53 × 353.75
  4. Step 4: Simplify right side
    786.47x = 417,256.97
  5. Step 5: Solve for x
    x = 417,256.97/786.47
  6. Step 6: Final answer
    x = 530.54

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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.