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Finding the Fourth Proportional to 738.75, 1,019.42 and 407.12

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Solution

The fourth proportional to 738.75, 1,019.42 and 407.12 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,019.42 = 407.12 : x
  2. Step 2: Convert to fraction form
    738.75/1,019.42 = 407.12/x
  3. Step 3: Cross multiply
    738.75x = 1,019.42 × 407.12
  4. Step 4: Simplify right side
    738.75x = 415,019.14
  5. Step 5: Solve for x
    x = 415,019.14/738.75
  6. Step 6: Final answer
    x = 561.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.