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Finding the Fourth Proportional to 678.96, 1,018.50 and 313.65

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Solution

The fourth proportional to 678.96, 1,018.50 and 313.65 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 1,018.50 = 313.65 : x
  2. Step 2: Convert to fraction form
    678.96/1,018.50 = 313.65/x
  3. Step 3: Cross multiply
    678.96x = 1,018.50 × 313.65
  4. Step 4: Simplify right side
    678.96x = 319,452.53
  5. Step 5: Solve for x
    x = 319,452.53/678.96
  6. Step 6: Final answer
    x = 470.50

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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.