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Finding the Fourth Proportional to 1,505.04, 2,257.57 and 988.31

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Solution

The fourth proportional to 1,505.04, 2,257.57 and 988.31 is: 1,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.04 : 2,257.57 = 988.31 : x
  2. Step 2: Convert to fraction form
    1,505.04/2,257.57 = 988.31/x
  3. Step 3: Cross multiply
    1,505.04x = 2,257.57 × 988.31
  4. Step 4: Simplify right side
    1,505.04x = 2,231,182.18
  5. Step 5: Solve for x
    x = 2,231,182.18/1,505.04
  6. Step 6: Final answer
    x = 1,482.47

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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.