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Finding the Fourth Proportional to 855.74, 1,180.80 and 501.77

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Solution

The fourth proportional to 855.74, 1,180.80 and 501.77 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.74 : 1,180.80 = 501.77 : x
  2. Step 2: Convert to fraction form
    855.74/1,180.80 = 501.77/x
  3. Step 3: Cross multiply
    855.74x = 1,180.80 × 501.77
  4. Step 4: Simplify right side
    855.74x = 592,484.11
  5. Step 5: Solve for x
    x = 592,484.11/855.74
  6. Step 6: Final answer
    x = 692.37

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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.