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Finding the Fourth Proportional to 1,013.53, 1,519.62 and 520.24

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Solution

The fourth proportional to 1,013.53, 1,519.62 and 520.24 is: 780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.53 : 1,519.62 = 520.24 : x
  2. Step 2: Convert to fraction form
    1,013.53/1,519.62 = 520.24/x
  3. Step 3: Cross multiply
    1,013.53x = 1,519.62 × 520.24
  4. Step 4: Simplify right side
    1,013.53x = 790,567.11
  5. Step 5: Solve for x
    x = 790,567.11/1,013.53
  6. Step 6: Final answer
    x = 780.01

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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.