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Finding the Fourth Proportional to 929.64, 1,394.46 and 442.84

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Solution

The fourth proportional to 929.64, 1,394.46 and 442.84 is: 664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,394.46 = 442.84 : x
  2. Step 2: Convert to fraction form
    929.64/1,394.46 = 442.84/x
  3. Step 3: Cross multiply
    929.64x = 1,394.46 × 442.84
  4. Step 4: Simplify right side
    929.64x = 617,522.67
  5. Step 5: Solve for x
    x = 617,522.67/929.64
  6. Step 6: Final answer
    x = 664.26

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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.