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Finding the Fourth Proportional to 1,670.31, 2,505.58 and 575.45

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Solution

The fourth proportional to 1,670.31, 2,505.58 and 575.45 is: 863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.31 : 2,505.58 = 575.45 : x
  2. Step 2: Convert to fraction form
    1,670.31/2,505.58 = 575.45/x
  3. Step 3: Cross multiply
    1,670.31x = 2,505.58 × 575.45
  4. Step 4: Simplify right side
    1,670.31x = 1,441,836.01
  5. Step 5: Solve for x
    x = 1,441,836.01/1,670.31
  6. Step 6: Final answer
    x = 863.21

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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.