Home / 1,084.62-1,628.10-598.08

Finding the Fourth Proportional to 1,084.62, 1,628.10 and 598.08

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Solution

The fourth proportional to 1,084.62, 1,628.10 and 598.08 is: 897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.62 : 1,628.10 = 598.08 : x
  2. Step 2: Convert to fraction form
    1,084.62/1,628.10 = 598.08/x
  3. Step 3: Cross multiply
    1,084.62x = 1,628.10 × 598.08
  4. Step 4: Simplify right side
    1,084.62x = 973,734.05
  5. Step 5: Solve for x
    x = 973,734.05/1,084.62
  6. Step 6: Final answer
    x = 897.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.