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Finding the Fourth Proportional to 1,186.47, 1,779.70 and 320.78

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Solution

The fourth proportional to 1,186.47, 1,779.70 and 320.78 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.47 : 1,779.70 = 320.78 : x
  2. Step 2: Convert to fraction form
    1,186.47/1,779.70 = 320.78/x
  3. Step 3: Cross multiply
    1,186.47x = 1,779.70 × 320.78
  4. Step 4: Simplify right side
    1,186.47x = 570,892.17
  5. Step 5: Solve for x
    x = 570,892.17/1,186.47
  6. Step 6: Final answer
    x = 481.17

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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.