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Finding the Fourth Proportional to 1,104.77, 1,524.53 and 632.64

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Solution

The fourth proportional to 1,104.77, 1,524.53 and 632.64 is: 873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.77 : 1,524.53 = 632.64 : x
  2. Step 2: Convert to fraction form
    1,104.77/1,524.53 = 632.64/x
  3. Step 3: Cross multiply
    1,104.77x = 1,524.53 × 632.64
  4. Step 4: Simplify right side
    1,104.77x = 964,485.96
  5. Step 5: Solve for x
    x = 964,485.96/1,104.77
  6. Step 6: Final answer
    x = 873.02

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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.