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Finding the Fourth Proportional to 1,182.84, 1,632.69 and 717

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Solution

The fourth proportional to 1,182.84, 1,632.69 and 717 is: 989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,632.69 = 717 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,632.69 = 717/x
  3. Step 3: Cross multiply
    1,182.84x = 1,632.69 × 717
  4. Step 4: Simplify right side
    1,182.84x = 1,170,638.73
  5. Step 5: Solve for x
    x = 1,170,638.73/1,182.84
  6. Step 6: Final answer
    x = 989.68

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1.5x scale

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.