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Finding the Fourth Proportional to 1,147.19, 1,583.15 and 623.25

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Solution

The fourth proportional to 1,147.19, 1,583.15 and 623.25 is: 860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.19 : 1,583.15 = 623.25 : x
  2. Step 2: Convert to fraction form
    1,147.19/1,583.15 = 623.25/x
  3. Step 3: Cross multiply
    1,147.19x = 1,583.15 × 623.25
  4. Step 4: Simplify right side
    1,147.19x = 986,698.24
  5. Step 5: Solve for x
    x = 986,698.24/1,147.19
  6. Step 6: Final answer
    x = 860.10

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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.