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Finding the Fourth Proportional to 670.19, 1,005.83 and 345.65

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Solution

The fourth proportional to 670.19, 1,005.83 and 345.65 is: 518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 1,005.83 = 345.65 : x
  2. Step 2: Convert to fraction form
    670.19/1,005.83 = 345.65/x
  3. Step 3: Cross multiply
    670.19x = 1,005.83 × 345.65
  4. Step 4: Simplify right side
    670.19x = 347,658.38
  5. Step 5: Solve for x
    x = 347,658.38/670.19
  6. Step 6: Final answer
    x = 518.75

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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.