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Finding the Fourth Proportional to 940.88, 1,411.86 and 524.76

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Solution

The fourth proportional to 940.88, 1,411.86 and 524.76 is: 787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.88 : 1,411.86 = 524.76 : x
  2. Step 2: Convert to fraction form
    940.88/1,411.86 = 524.76/x
  3. Step 3: Cross multiply
    940.88x = 1,411.86 × 524.76
  4. Step 4: Simplify right side
    940.88x = 740,892.27
  5. Step 5: Solve for x
    x = 740,892.27/940.88
  6. Step 6: Final answer
    x = 787.44

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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.