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Finding the Fourth Proportional to 1,186.87, 1,779.53 and 494.01

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Solution

The fourth proportional to 1,186.87, 1,779.53 and 494.01 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.87 : 1,779.53 = 494.01 : x
  2. Step 2: Convert to fraction form
    1,186.87/1,779.53 = 494.01/x
  3. Step 3: Cross multiply
    1,186.87x = 1,779.53 × 494.01
  4. Step 4: Simplify right side
    1,186.87x = 879,105.62
  5. Step 5: Solve for x
    x = 879,105.62/1,186.87
  6. Step 6: Final answer
    x = 740.70

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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.