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Finding the Fourth Proportional to 1,022.38, 1,525.72 and 913.04

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Solution

The fourth proportional to 1,022.38, 1,525.72 and 913.04 is: 1,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,525.72 = 913.04 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,525.72 = 913.04/x
  3. Step 3: Cross multiply
    1,022.38x = 1,525.72 × 913.04
  4. Step 4: Simplify right side
    1,022.38x = 1,393,043.39
  5. Step 5: Solve for x
    x = 1,393,043.39/1,022.38
  6. Step 6: Final answer
    x = 1,362.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.