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Finding the Fourth Proportional to 1,147.50, 1,583.94 and 774.24

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Solution

The fourth proportional to 1,147.50, 1,583.94 and 774.24 is: 1,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.50 : 1,583.94 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,147.50/1,583.94 = 774.24/x
  3. Step 3: Cross multiply
    1,147.50x = 1,583.94 × 774.24
  4. Step 4: Simplify right side
    1,147.50x = 1,226,349.71
  5. Step 5: Solve for x
    x = 1,226,349.71/1,147.50
  6. Step 6: Final answer
    x = 1,068.71

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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.