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Finding the Fourth Proportional to 839.68, 1,260.33 and 407.14

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Solution

The fourth proportional to 839.68, 1,260.33 and 407.14 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,260.33 = 407.14 : x
  2. Step 2: Convert to fraction form
    839.68/1,260.33 = 407.14/x
  3. Step 3: Cross multiply
    839.68x = 1,260.33 × 407.14
  4. Step 4: Simplify right side
    839.68x = 513,130.76
  5. Step 5: Solve for x
    x = 513,130.76/839.68
  6. Step 6: Final answer
    x = 611.10

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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.