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Finding the Fourth Proportional to 1,084.84, 1,627.80 and 537

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Solution

The fourth proportional to 1,084.84, 1,627.80 and 537 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.84 : 1,627.80 = 537 : x
  2. Step 2: Convert to fraction form
    1,084.84/1,627.80 = 537/x
  3. Step 3: Cross multiply
    1,084.84x = 1,627.80 × 537
  4. Step 4: Simplify right side
    1,084.84x = 874,128.60
  5. Step 5: Solve for x
    x = 874,128.60/1,084.84
  6. Step 6: Final answer
    x = 805.77

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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.