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Finding the Fourth Proportional to 1,178.92, 1,768.33 and 313.24

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Solution

The fourth proportional to 1,178.92, 1,768.33 and 313.24 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.92 : 1,768.33 = 313.24 : x
  2. Step 2: Convert to fraction form
    1,178.92/1,768.33 = 313.24/x
  3. Step 3: Cross multiply
    1,178.92x = 1,768.33 × 313.24
  4. Step 4: Simplify right side
    1,178.92x = 553,911.69
  5. Step 5: Solve for x
    x = 553,911.69/1,178.92
  6. Step 6: Final answer
    x = 469.85

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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.