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Finding the Fourth Proportional to 677.84, 1,017.09 and 530.67

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Solution

The fourth proportional to 677.84, 1,017.09 and 530.67 is: 796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 1,017.09 = 530.67 : x
  2. Step 2: Convert to fraction form
    677.84/1,017.09 = 530.67/x
  3. Step 3: Cross multiply
    677.84x = 1,017.09 × 530.67
  4. Step 4: Simplify right side
    677.84x = 539,739.48
  5. Step 5: Solve for x
    x = 539,739.48/677.84
  6. Step 6: Final answer
    x = 796.27

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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.