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Finding the Fourth Proportional to 718.21, 1,075.49 and 658.07

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Solution

The fourth proportional to 718.21, 1,075.49 and 658.07 is: 985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.21 : 1,075.49 = 658.07 : x
  2. Step 2: Convert to fraction form
    718.21/1,075.49 = 658.07/x
  3. Step 3: Cross multiply
    718.21x = 1,075.49 × 658.07
  4. Step 4: Simplify right side
    718.21x = 707,747.70
  5. Step 5: Solve for x
    x = 707,747.70/718.21
  6. Step 6: Final answer
    x = 985.43

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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.