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Finding the Fourth Proportional to 1,084.93, 1,627.24 and 391.50

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Solution

The fourth proportional to 1,084.93, 1,627.24 and 391.50 is: 587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.93 : 1,627.24 = 391.50 : x
  2. Step 2: Convert to fraction form
    1,084.93/1,627.24 = 391.50/x
  3. Step 3: Cross multiply
    1,084.93x = 1,627.24 × 391.50
  4. Step 4: Simplify right side
    1,084.93x = 637,064.46
  5. Step 5: Solve for x
    x = 637,064.46/1,084.93
  6. Step 6: Final answer
    x = 587.19

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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.