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Finding the Fourth Proportional to 941.85, 1,411.88 and 524.75

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Solution

The fourth proportional to 941.85, 1,411.88 and 524.75 is: 786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.85 : 1,411.88 = 524.75 : x
  2. Step 2: Convert to fraction form
    941.85/1,411.88 = 524.75/x
  3. Step 3: Cross multiply
    941.85x = 1,411.88 × 524.75
  4. Step 4: Simplify right side
    941.85x = 740,874.35
  5. Step 5: Solve for x
    x = 740,874.35/941.85
  6. Step 6: Final answer
    x = 786.62

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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.