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Finding the Fourth Proportional to 1,176.62, 1,763.56 and 525.98

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Solution

The fourth proportional to 1,176.62, 1,763.56 and 525.98 is: 788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.62 : 1,763.56 = 525.98 : x
  2. Step 2: Convert to fraction form
    1,176.62/1,763.56 = 525.98/x
  3. Step 3: Cross multiply
    1,176.62x = 1,763.56 × 525.98
  4. Step 4: Simplify right side
    1,176.62x = 927,600.38
  5. Step 5: Solve for x
    x = 927,600.38/1,176.62
  6. Step 6: Final answer
    x = 788.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.