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Finding the Fourth Proportional to 929.69, 1,394.74 and 435.73

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Solution

The fourth proportional to 929.69, 1,394.74 and 435.73 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.69 : 1,394.74 = 435.73 : x
  2. Step 2: Convert to fraction form
    929.69/1,394.74 = 435.73/x
  3. Step 3: Cross multiply
    929.69x = 1,394.74 × 435.73
  4. Step 4: Simplify right side
    929.69x = 607,730.06
  5. Step 5: Solve for x
    x = 607,730.06/929.69
  6. Step 6: Final answer
    x = 653.69

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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.