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Finding the Fourth Proportional to 670.83, 1,005.90 and 280.72

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Solution

The fourth proportional to 670.83, 1,005.90 and 280.72 is: 420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 1,005.90 = 280.72 : x
  2. Step 2: Convert to fraction form
    670.83/1,005.90 = 280.72/x
  3. Step 3: Cross multiply
    670.83x = 1,005.90 × 280.72
  4. Step 4: Simplify right side
    670.83x = 282,379.39
  5. Step 5: Solve for x
    x = 282,379.39/670.83
  6. Step 6: Final answer
    x = 420.94

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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.