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Finding the Fourth Proportional to 1,670.50, 2,505.44 and 500.65

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Solution

The fourth proportional to 1,670.50, 2,505.44 and 500.65 is: 750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.50 : 2,505.44 = 500.65 : x
  2. Step 2: Convert to fraction form
    1,670.50/2,505.44 = 500.65/x
  3. Step 3: Cross multiply
    1,670.50x = 2,505.44 × 500.65
  4. Step 4: Simplify right side
    1,670.50x = 1,254,346.03
  5. Step 5: Solve for x
    x = 1,254,346.03/1,670.50
  6. Step 6: Final answer
    x = 750.88

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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.