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Finding the Fourth Proportional to 1,170.88, 1,758.72 and 1,102.84

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Solution

The fourth proportional to 1,170.88, 1,758.72 and 1,102.84 is: 1,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.88 : 1,758.72 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    1,170.88/1,758.72 = 1,102.84/x
  3. Step 3: Cross multiply
    1,170.88x = 1,758.72 × 1,102.84
  4. Step 4: Simplify right side
    1,170.88x = 1,939,586.76
  5. Step 5: Solve for x
    x = 1,939,586.76/1,170.88
  6. Step 6: Final answer
    x = 1,656.52

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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.