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Finding the Fourth Proportional to 929.42, 1,394.34 and 657.26

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Solution

The fourth proportional to 929.42, 1,394.34 and 657.26 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,394.34 = 657.26 : x
  2. Step 2: Convert to fraction form
    929.42/1,394.34 = 657.26/x
  3. Step 3: Cross multiply
    929.42x = 1,394.34 × 657.26
  4. Step 4: Simplify right side
    929.42x = 916,443.91
  5. Step 5: Solve for x
    x = 916,443.91/929.42
  6. Step 6: Final answer
    x = 986.04

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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.