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Finding the Fourth Proportional to 876.95, 1,206.47 and 852.65

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Solution

The fourth proportional to 876.95, 1,206.47 and 852.65 is: 1,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.95 : 1,206.47 = 852.65 : x
  2. Step 2: Convert to fraction form
    876.95/1,206.47 = 852.65/x
  3. Step 3: Cross multiply
    876.95x = 1,206.47 × 852.65
  4. Step 4: Simplify right side
    876.95x = 1,028,692.38
  5. Step 5: Solve for x
    x = 1,028,692.38/876.95
  6. Step 6: Final answer
    x = 1,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.