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Finding the Fourth Proportional to 1,147.16, 1,583.79 and 774.20

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Solution

The fourth proportional to 1,147.16, 1,583.79 and 774.20 is: 1,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.16 : 1,583.79 = 774.20 : x
  2. Step 2: Convert to fraction form
    1,147.16/1,583.79 = 774.20/x
  3. Step 3: Cross multiply
    1,147.16x = 1,583.79 × 774.20
  4. Step 4: Simplify right side
    1,147.16x = 1,226,170.22
  5. Step 5: Solve for x
    x = 1,226,170.22/1,147.16
  6. Step 6: Final answer
    x = 1,068.87

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Why These Related Problems?

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