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Finding the Fourth Proportional to 776.53, 1,164.87 and 283.24

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Solution

The fourth proportional to 776.53, 1,164.87 and 283.24 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.53 : 1,164.87 = 283.24 : x
  2. Step 2: Convert to fraction form
    776.53/1,164.87 = 283.24/x
  3. Step 3: Cross multiply
    776.53x = 1,164.87 × 283.24
  4. Step 4: Simplify right side
    776.53x = 329,934.87
  5. Step 5: Solve for x
    x = 329,934.87/776.53
  6. Step 6: Final answer
    x = 424.88

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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.