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Finding the Fourth Proportional to 1,013.02, 1,519.71 and 524.86

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Solution

The fourth proportional to 1,013.02, 1,519.71 and 524.86 is: 787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.02 : 1,519.71 = 524.86 : x
  2. Step 2: Convert to fraction form
    1,013.02/1,519.71 = 524.86/x
  3. Step 3: Cross multiply
    1,013.02x = 1,519.71 × 524.86
  4. Step 4: Simplify right side
    1,013.02x = 797,634.99
  5. Step 5: Solve for x
    x = 797,634.99/1,013.02
  6. Step 6: Final answer
    x = 787.38

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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.