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Finding the Fourth Proportional to 1,179.42, 1,768.59 and 357.78

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Solution

The fourth proportional to 1,179.42, 1,768.59 and 357.78 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.42 : 1,768.59 = 357.78 : x
  2. Step 2: Convert to fraction form
    1,179.42/1,768.59 = 357.78/x
  3. Step 3: Cross multiply
    1,179.42x = 1,768.59 × 357.78
  4. Step 4: Simplify right side
    1,179.42x = 632,766.13
  5. Step 5: Solve for x
    x = 632,766.13/1,179.42
  6. Step 6: Final answer
    x = 536.51

Related Problems

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Double scale
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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.