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Finding the Fourth Proportional to 1,189.90, 1,784.88 and 356.95

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Solution

The fourth proportional to 1,189.90, 1,784.88 and 356.95 is: 535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.90 : 1,784.88 = 356.95 : x
  2. Step 2: Convert to fraction form
    1,189.90/1,784.88 = 356.95/x
  3. Step 3: Cross multiply
    1,189.90x = 1,784.88 × 356.95
  4. Step 4: Simplify right side
    1,189.90x = 637,103.99
  5. Step 5: Solve for x
    x = 637,103.99/1,189.90
  6. Step 6: Final answer
    x = 535.43

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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.