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Finding the Fourth Proportional to 1,186.40, 1,779.57 and 493.05

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Solution

The fourth proportional to 1,186.40, 1,779.57 and 493.05 is: 739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.40 : 1,779.57 = 493.05 : x
  2. Step 2: Convert to fraction form
    1,186.40/1,779.57 = 493.05/x
  3. Step 3: Cross multiply
    1,186.40x = 1,779.57 × 493.05
  4. Step 4: Simplify right side
    1,186.40x = 877,423.66
  5. Step 5: Solve for x
    x = 877,423.66/1,186.40
  6. Step 6: Final answer
    x = 739.57

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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.