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Finding the Fourth Proportional to 941.84, 1,299.46 and 587.59

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Solution

The fourth proportional to 941.84, 1,299.46 and 587.59 is: 810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.84 : 1,299.46 = 587.59 : x
  2. Step 2: Convert to fraction form
    941.84/1,299.46 = 587.59/x
  3. Step 3: Cross multiply
    941.84x = 1,299.46 × 587.59
  4. Step 4: Simplify right side
    941.84x = 763,549.70
  5. Step 5: Solve for x
    x = 763,549.70/941.84
  6. Step 6: Final answer
    x = 810.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.