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Finding the Fourth Proportional to 1,147.19, 1,583.10 and 623.21

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Solution

The fourth proportional to 1,147.19, 1,583.10 and 623.21 is: 860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.19 : 1,583.10 = 623.21 : x
  2. Step 2: Convert to fraction form
    1,147.19/1,583.10 = 623.21/x
  3. Step 3: Cross multiply
    1,147.19x = 1,583.10 × 623.21
  4. Step 4: Simplify right side
    1,147.19x = 986,595.84
  5. Step 5: Solve for x
    x = 986,595.84/1,147.19
  6. Step 6: Final answer
    x = 860.01

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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.