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Finding the Fourth Proportional to 1,178.99, 1,768.33 and 561.77

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Solution

The fourth proportional to 1,178.99, 1,768.33 and 561.77 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.99 : 1,768.33 = 561.77 : x
  2. Step 2: Convert to fraction form
    1,178.99/1,768.33 = 561.77/x
  3. Step 3: Cross multiply
    1,178.99x = 1,768.33 × 561.77
  4. Step 4: Simplify right side
    1,178.99x = 993,393.24
  5. Step 5: Solve for x
    x = 993,393.24/1,178.99
  6. Step 6: Final answer
    x = 842.58

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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.