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Finding the Fourth Proportional to 1,176.75, 1,765.18 and 446.38

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Solution

The fourth proportional to 1,176.75, 1,765.18 and 446.38 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.75 : 1,765.18 = 446.38 : x
  2. Step 2: Convert to fraction form
    1,176.75/1,765.18 = 446.38/x
  3. Step 3: Cross multiply
    1,176.75x = 1,765.18 × 446.38
  4. Step 4: Simplify right side
    1,176.75x = 787,929.99
  5. Step 5: Solve for x
    x = 787,929.99/1,176.75
  6. Step 6: Final answer
    x = 669.58

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1.5x scale

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.