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Finding the Fourth Proportional to 1,159.94, 1,599.87 and 845.30

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Solution

The fourth proportional to 1,159.94, 1,599.87 and 845.30 is: 1,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.94 : 1,599.87 = 845.30 : x
  2. Step 2: Convert to fraction form
    1,159.94/1,599.87 = 845.30/x
  3. Step 3: Cross multiply
    1,159.94x = 1,599.87 × 845.30
  4. Step 4: Simplify right side
    1,159.94x = 1,352,370.11
  5. Step 5: Solve for x
    x = 1,352,370.11/1,159.94
  6. Step 6: Final answer
    x = 1,165.90

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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.