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Finding the Fourth Proportional to 1,193.34, 1,790.47 and 462.98

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Solution

The fourth proportional to 1,193.34, 1,790.47 and 462.98 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.34 : 1,790.47 = 462.98 : x
  2. Step 2: Convert to fraction form
    1,193.34/1,790.47 = 462.98/x
  3. Step 3: Cross multiply
    1,193.34x = 1,790.47 × 462.98
  4. Step 4: Simplify right side
    1,193.34x = 828,956.86
  5. Step 5: Solve for x
    x = 828,956.86/1,193.34
  6. Step 6: Final answer
    x = 694.65

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Double scale
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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.