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Finding the Fourth Proportional to 1,218, 1,827.32 and 524.88

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Solution

The fourth proportional to 1,218, 1,827.32 and 524.88 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218 : 1,827.32 = 524.88 : x
  2. Step 2: Convert to fraction form
    1,218/1,827.32 = 524.88/x
  3. Step 3: Cross multiply
    1,218x = 1,827.32 × 524.88
  4. Step 4: Simplify right side
    1,218x = 959,123.72
  5. Step 5: Solve for x
    x = 959,123.72/1,218
  6. Step 6: Final answer
    x = 787.46

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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.