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Finding the Fourth Proportional to 1,104.32, 1,525.01 and 946.04

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Solution

The fourth proportional to 1,104.32, 1,525.01 and 946.04 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.32 : 1,525.01 = 946.04 : x
  2. Step 2: Convert to fraction form
    1,104.32/1,525.01 = 946.04/x
  3. Step 3: Cross multiply
    1,104.32x = 1,525.01 × 946.04
  4. Step 4: Simplify right side
    1,104.32x = 1,442,708.11
  5. Step 5: Solve for x
    x = 1,442,708.11/1,104.32
  6. Step 6: Final answer
    x = 1,306.43

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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.