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Finding the Fourth Proportional to 1,176.39, 1,765.04 and 446.16

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Solution

The fourth proportional to 1,176.39, 1,765.04 and 446.16 is: 669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.39 : 1,765.04 = 446.16 : x
  2. Step 2: Convert to fraction form
    1,176.39/1,765.04 = 446.16/x
  3. Step 3: Cross multiply
    1,176.39x = 1,765.04 × 446.16
  4. Step 4: Simplify right side
    1,176.39x = 787,482.54
  5. Step 5: Solve for x
    x = 787,482.54/1,176.39
  6. Step 6: Final answer
    x = 669.41

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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.