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Finding the Fourth Proportional to 929.70, 1,393.92 and 466.92

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Solution

The fourth proportional to 929.70, 1,393.92 and 466.92 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.70 : 1,393.92 = 466.92 : x
  2. Step 2: Convert to fraction form
    929.70/1,393.92 = 466.92/x
  3. Step 3: Cross multiply
    929.70x = 1,393.92 × 466.92
  4. Step 4: Simplify right side
    929.70x = 650,849.13
  5. Step 5: Solve for x
    x = 650,849.13/929.70
  6. Step 6: Final answer
    x = 700.06

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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.