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Finding the Fourth Proportional to 783, 1,172.80 and 371.52

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Solution

The fourth proportional to 783, 1,172.80 and 371.52 is: 556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,172.80 = 371.52 : x
  2. Step 2: Convert to fraction form
    783/1,172.80 = 371.52/x
  3. Step 3: Cross multiply
    783x = 1,172.80 × 371.52
  4. Step 4: Simplify right side
    783x = 435,718.66
  5. Step 5: Solve for x
    x = 435,718.66/783
  6. Step 6: Final answer
    x = 556.47

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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.