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Finding the Fourth Proportional to 1,186.90, 1,779.66 and 570.33

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Solution

The fourth proportional to 1,186.90, 1,779.66 and 570.33 is: 855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.90 : 1,779.66 = 570.33 : x
  2. Step 2: Convert to fraction form
    1,186.90/1,779.66 = 570.33/x
  3. Step 3: Cross multiply
    1,186.90x = 1,779.66 × 570.33
  4. Step 4: Simplify right side
    1,186.90x = 1,014,993.49
  5. Step 5: Solve for x
    x = 1,014,993.49/1,186.90
  6. Step 6: Final answer
    x = 855.16

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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.