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Finding the Fourth Proportional to 1,272.34, 1,908.51 and 578.98

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Solution

The fourth proportional to 1,272.34, 1,908.51 and 578.98 is: 868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.34 : 1,908.51 = 578.98 : x
  2. Step 2: Convert to fraction form
    1,272.34/1,908.51 = 578.98/x
  3. Step 3: Cross multiply
    1,272.34x = 1,908.51 × 578.98
  4. Step 4: Simplify right side
    1,272.34x = 1,104,989.12
  5. Step 5: Solve for x
    x = 1,104,989.12/1,272.34
  6. Step 6: Final answer
    x = 868.47

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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.