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Finding the Fourth Proportional to 1,152.95, 1,591.13 and 628.99

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Solution

The fourth proportional to 1,152.95, 1,591.13 and 628.99 is: 868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.95 : 1,591.13 = 628.99 : x
  2. Step 2: Convert to fraction form
    1,152.95/1,591.13 = 628.99/x
  3. Step 3: Cross multiply
    1,152.95x = 1,591.13 × 628.99
  4. Step 4: Simplify right side
    1,152.95x = 1,000,796.90
  5. Step 5: Solve for x
    x = 1,000,796.90/1,152.95
  6. Step 6: Final answer
    x = 868.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.