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Finding the Fourth Proportional to 1,013.34, 1,519.74 and 364.08

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Solution

The fourth proportional to 1,013.34, 1,519.74 and 364.08 is: 546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.34 : 1,519.74 = 364.08 : x
  2. Step 2: Convert to fraction form
    1,013.34/1,519.74 = 364.08/x
  3. Step 3: Cross multiply
    1,013.34x = 1,519.74 × 364.08
  4. Step 4: Simplify right side
    1,013.34x = 553,306.94
  5. Step 5: Solve for x
    x = 553,306.94/1,013.34
  6. Step 6: Final answer
    x = 546.02

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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.