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Finding the Fourth Proportional to 1,102.65, 1,652.82 and 690.84

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Solution

The fourth proportional to 1,102.65, 1,652.82 and 690.84 is: 1,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.65 : 1,652.82 = 690.84 : x
  2. Step 2: Convert to fraction form
    1,102.65/1,652.82 = 690.84/x
  3. Step 3: Cross multiply
    1,102.65x = 1,652.82 × 690.84
  4. Step 4: Simplify right side
    1,102.65x = 1,141,834.17
  5. Step 5: Solve for x
    x = 1,141,834.17/1,102.65
  6. Step 6: Final answer
    x = 1,035.54

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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.