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Finding the Fourth Proportional to 1,084.34, 1,626.75 and 597.14

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Solution

The fourth proportional to 1,084.34, 1,626.75 and 597.14 is: 895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.34 : 1,626.75 = 597.14 : x
  2. Step 2: Convert to fraction form
    1,084.34/1,626.75 = 597.14/x
  3. Step 3: Cross multiply
    1,084.34x = 1,626.75 × 597.14
  4. Step 4: Simplify right side
    1,084.34x = 971,397.50
  5. Step 5: Solve for x
    x = 971,397.50/1,084.34
  6. Step 6: Final answer
    x = 895.84

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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.