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Finding the Fourth Proportional to 783.34, 1,175.01 and 206.21

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Solution

The fourth proportional to 783.34, 1,175.01 and 206.21 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,175.01 = 206.21 : x
  2. Step 2: Convert to fraction form
    783.34/1,175.01 = 206.21/x
  3. Step 3: Cross multiply
    783.34x = 1,175.01 × 206.21
  4. Step 4: Simplify right side
    783.34x = 242,298.81
  5. Step 5: Solve for x
    x = 242,298.81/783.34
  6. Step 6: Final answer
    x = 309.32

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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.