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Finding the Fourth Proportional to 1,102.24, 1,652.64 and 485.65

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Solution

The fourth proportional to 1,102.24, 1,652.64 and 485.65 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.24 : 1,652.64 = 485.65 : x
  2. Step 2: Convert to fraction form
    1,102.24/1,652.64 = 485.65/x
  3. Step 3: Cross multiply
    1,102.24x = 1,652.64 × 485.65
  4. Step 4: Simplify right side
    1,102.24x = 802,604.62
  5. Step 5: Solve for x
    x = 802,604.62/1,102.24
  6. Step 6: Final answer
    x = 728.16

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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.