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Finding the Fourth Proportional to 1,122.58, 1,544.02 and 901.04

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Solution

The fourth proportional to 1,122.58, 1,544.02 and 901.04 is: 1,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.58 : 1,544.02 = 901.04 : x
  2. Step 2: Convert to fraction form
    1,122.58/1,544.02 = 901.04/x
  3. Step 3: Cross multiply
    1,122.58x = 1,544.02 × 901.04
  4. Step 4: Simplify right side
    1,122.58x = 1,391,225.39
  5. Step 5: Solve for x
    x = 1,391,225.39/1,122.58
  6. Step 6: Final answer
    x = 1,239.31

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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.