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Finding the Fourth Proportional to 1,186.66, 1,779.86 and 364.94

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Solution

The fourth proportional to 1,186.66, 1,779.86 and 364.94 is: 547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.66 : 1,779.86 = 364.94 : x
  2. Step 2: Convert to fraction form
    1,186.66/1,779.86 = 364.94/x
  3. Step 3: Cross multiply
    1,186.66x = 1,779.86 × 364.94
  4. Step 4: Simplify right side
    1,186.66x = 649,534.12
  5. Step 5: Solve for x
    x = 649,534.12/1,186.66
  6. Step 6: Final answer
    x = 547.36

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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.