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Finding the Fourth Proportional to 1,084.76, 1,626.42 and 598.04

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Solution

The fourth proportional to 1,084.76, 1,626.42 and 598.04 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.76 : 1,626.42 = 598.04 : x
  2. Step 2: Convert to fraction form
    1,084.76/1,626.42 = 598.04/x
  3. Step 3: Cross multiply
    1,084.76x = 1,626.42 × 598.04
  4. Step 4: Simplify right side
    1,084.76x = 972,664.22
  5. Step 5: Solve for x
    x = 972,664.22/1,084.76
  6. Step 6: Final answer
    x = 896.66

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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.