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Finding the Fourth Proportional to 1,158.62, 1,597.99 and 1,025.99

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Solution

The fourth proportional to 1,158.62, 1,597.99 and 1,025.99 is: 1,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.62 : 1,597.99 = 1,025.99 : x
  2. Step 2: Convert to fraction form
    1,158.62/1,597.99 = 1,025.99/x
  3. Step 3: Cross multiply
    1,158.62x = 1,597.99 × 1,025.99
  4. Step 4: Simplify right side
    1,158.62x = 1,639,521.76
  5. Step 5: Solve for x
    x = 1,639,521.76/1,158.62
  6. Step 6: Final answer
    x = 1,415.06

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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.