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Finding the Fourth Proportional to 935.40, 1,401.58 and 496.62

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Solution

The fourth proportional to 935.40, 1,401.58 and 496.62 is: 744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.40 : 1,401.58 = 496.62 : x
  2. Step 2: Convert to fraction form
    935.40/1,401.58 = 496.62/x
  3. Step 3: Cross multiply
    935.40x = 1,401.58 × 496.62
  4. Step 4: Simplify right side
    935.40x = 696,045.34
  5. Step 5: Solve for x
    x = 696,045.34/935.40
  6. Step 6: Final answer
    x = 744.12

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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.