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Finding the Fourth Proportional to 855.79, 1,180.90 and 501.75

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Solution

The fourth proportional to 855.79, 1,180.90 and 501.75 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.79 : 1,180.90 = 501.75 : x
  2. Step 2: Convert to fraction form
    855.79/1,180.90 = 501.75/x
  3. Step 3: Cross multiply
    855.79x = 1,180.90 × 501.75
  4. Step 4: Simplify right side
    855.79x = 592,516.58
  5. Step 5: Solve for x
    x = 592,516.58/855.79
  6. Step 6: Final answer
    x = 692.36

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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.