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Finding the Fourth Proportional to 1,145.56, 1,580.88 and 621.59

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Solution

The fourth proportional to 1,145.56, 1,580.88 and 621.59 is: 857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.56 : 1,580.88 = 621.59 : x
  2. Step 2: Convert to fraction form
    1,145.56/1,580.88 = 621.59/x
  3. Step 3: Cross multiply
    1,145.56x = 1,580.88 × 621.59
  4. Step 4: Simplify right side
    1,145.56x = 982,659.20
  5. Step 5: Solve for x
    x = 982,659.20/1,145.56
  6. Step 6: Final answer
    x = 857.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.