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Finding the Fourth Proportional to 711.40, 1,061.94 and 657.94

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Solution

The fourth proportional to 711.40, 1,061.94 and 657.94 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 1,061.94 = 657.94 : x
  2. Step 2: Convert to fraction form
    711.40/1,061.94 = 657.94/x
  3. Step 3: Cross multiply
    711.40x = 1,061.94 × 657.94
  4. Step 4: Simplify right side
    711.40x = 698,692.80
  5. Step 5: Solve for x
    x = 698,692.80/711.40
  6. Step 6: Final answer
    x = 982.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.