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Finding the Fourth Proportional to 941.18, 1,411.26 and 524.84

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Solution

The fourth proportional to 941.18, 1,411.26 and 524.84 is: 786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.18 : 1,411.26 = 524.84 : x
  2. Step 2: Convert to fraction form
    941.18/1,411.26 = 524.84/x
  3. Step 3: Cross multiply
    941.18x = 1,411.26 × 524.84
  4. Step 4: Simplify right side
    941.18x = 740,685.70
  5. Step 5: Solve for x
    x = 740,685.70/941.18
  6. Step 6: Final answer
    x = 786.98

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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.