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Finding the Fourth Proportional to 783.42, 1,175.04 and 206.34

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Solution

The fourth proportional to 783.42, 1,175.04 and 206.34 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,175.04 = 206.34 : x
  2. Step 2: Convert to fraction form
    783.42/1,175.04 = 206.34/x
  3. Step 3: Cross multiply
    783.42x = 1,175.04 × 206.34
  4. Step 4: Simplify right side
    783.42x = 242,457.75
  5. Step 5: Solve for x
    x = 242,457.75/783.42
  6. Step 6: Final answer
    x = 309.49

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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.