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Finding the Fourth Proportional to 783.55, 1,175.33 and 264.14

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Solution

The fourth proportional to 783.55, 1,175.33 and 264.14 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.55 : 1,175.33 = 264.14 : x
  2. Step 2: Convert to fraction form
    783.55/1,175.33 = 264.14/x
  3. Step 3: Cross multiply
    783.55x = 1,175.33 × 264.14
  4. Step 4: Simplify right side
    783.55x = 310,451.67
  5. Step 5: Solve for x
    x = 310,451.67/783.55
  6. Step 6: Final answer
    x = 396.21

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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.