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Finding the Fourth Proportional to 717.40, 1,075.02 and 409.06

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Solution

The fourth proportional to 717.40, 1,075.02 and 409.06 is: 612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.40 : 1,075.02 = 409.06 : x
  2. Step 2: Convert to fraction form
    717.40/1,075.02 = 409.06/x
  3. Step 3: Cross multiply
    717.40x = 1,075.02 × 409.06
  4. Step 4: Simplify right side
    717.40x = 439,747.68
  5. Step 5: Solve for x
    x = 439,747.68/717.40
  6. Step 6: Final answer
    x = 612.97

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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.