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Finding the Fourth Proportional to 929.04, 1,393.10 and 496.08

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Solution

The fourth proportional to 929.04, 1,393.10 and 496.08 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.04 : 1,393.10 = 496.08 : x
  2. Step 2: Convert to fraction form
    929.04/1,393.10 = 496.08/x
  3. Step 3: Cross multiply
    929.04x = 1,393.10 × 496.08
  4. Step 4: Simplify right side
    929.04x = 691,089.05
  5. Step 5: Solve for x
    x = 691,089.05/929.04
  6. Step 6: Final answer
    x = 743.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.