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Finding the Fourth Proportional to 765.84, 1,150.83 and 400.91

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Solution

The fourth proportional to 765.84, 1,150.83 and 400.91 is: 602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,150.83 = 400.91 : x
  2. Step 2: Convert to fraction form
    765.84/1,150.83 = 400.91/x
  3. Step 3: Cross multiply
    765.84x = 1,150.83 × 400.91
  4. Step 4: Simplify right side
    765.84x = 461,373.50
  5. Step 5: Solve for x
    x = 461,373.50/765.84
  6. Step 6: Final answer
    x = 602.44

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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.