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Finding the Fourth Proportional to 929.76, 1,395.24 and 442.86

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Solution

The fourth proportional to 929.76, 1,395.24 and 442.86 is: 664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.76 : 1,395.24 = 442.86 : x
  2. Step 2: Convert to fraction form
    929.76/1,395.24 = 442.86/x
  3. Step 3: Cross multiply
    929.76x = 1,395.24 × 442.86
  4. Step 4: Simplify right side
    929.76x = 617,895.99
  5. Step 5: Solve for x
    x = 617,895.99/929.76
  6. Step 6: Final answer
    x = 664.58

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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.