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Finding the Fourth Proportional to 1,186.48, 1,779.06 and 492.94

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Solution

The fourth proportional to 1,186.48, 1,779.06 and 492.94 is: 739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.48 : 1,779.06 = 492.94 : x
  2. Step 2: Convert to fraction form
    1,186.48/1,779.06 = 492.94/x
  3. Step 3: Cross multiply
    1,186.48x = 1,779.06 × 492.94
  4. Step 4: Simplify right side
    1,186.48x = 876,969.84
  5. Step 5: Solve for x
    x = 876,969.84/1,186.48
  6. Step 6: Final answer
    x = 739.14

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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.