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Finding the Fourth Proportional to 941.19, 1,411.67 and 593.48

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Solution

The fourth proportional to 941.19, 1,411.67 and 593.48 is: 890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.19 : 1,411.67 = 593.48 : x
  2. Step 2: Convert to fraction form
    941.19/1,411.67 = 593.48/x
  3. Step 3: Cross multiply
    941.19x = 1,411.67 × 593.48
  4. Step 4: Simplify right side
    941.19x = 837,787.89
  5. Step 5: Solve for x
    x = 837,787.89/941.19
  6. Step 6: Final answer
    x = 890.14

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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.