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Finding the Fourth Proportional to 1,538.19, 2,307.98 and 660.92

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Solution

The fourth proportional to 1,538.19, 2,307.98 and 660.92 is: 991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.19 : 2,307.98 = 660.92 : x
  2. Step 2: Convert to fraction form
    1,538.19/2,307.98 = 660.92/x
  3. Step 3: Cross multiply
    1,538.19x = 2,307.98 × 660.92
  4. Step 4: Simplify right side
    1,538.19x = 1,525,390.14
  5. Step 5: Solve for x
    x = 1,525,390.14/1,538.19
  6. Step 6: Final answer
    x = 991.68

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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.