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Finding the Fourth Proportional to 929.58, 1,392.93 and 496.62

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Solution

The fourth proportional to 929.58, 1,392.93 and 496.62 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.58 : 1,392.93 = 496.62 : x
  2. Step 2: Convert to fraction form
    929.58/1,392.93 = 496.62/x
  3. Step 3: Cross multiply
    929.58x = 1,392.93 × 496.62
  4. Step 4: Simplify right side
    929.58x = 691,756.90
  5. Step 5: Solve for x
    x = 691,756.90/929.58
  6. Step 6: Final answer
    x = 744.16

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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.