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Finding the Fourth Proportional to 1,538.36, 2,307.67 and 660.90

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Solution

The fourth proportional to 1,538.36, 2,307.67 and 660.90 is: 991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.36 : 2,307.67 = 660.90 : x
  2. Step 2: Convert to fraction form
    1,538.36/2,307.67 = 660.90/x
  3. Step 3: Cross multiply
    1,538.36x = 2,307.67 × 660.90
  4. Step 4: Simplify right side
    1,538.36x = 1,525,139.10
  5. Step 5: Solve for x
    x = 1,525,139.10/1,538.36
  6. Step 6: Final answer
    x = 991.41

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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.