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Finding the Fourth Proportional to 783.74, 1,175.72 and 321.77

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Solution

The fourth proportional to 783.74, 1,175.72 and 321.77 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.74 : 1,175.72 = 321.77 : x
  2. Step 2: Convert to fraction form
    783.74/1,175.72 = 321.77/x
  3. Step 3: Cross multiply
    783.74x = 1,175.72 × 321.77
  4. Step 4: Simplify right side
    783.74x = 378,312.75
  5. Step 5: Solve for x
    x = 378,312.75/783.74
  6. Step 6: Final answer
    x = 482.70

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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.