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Finding the Fourth Proportional to 1,365.57, 2,048.67 and 499.89

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Solution

The fourth proportional to 1,365.57, 2,048.67 and 499.89 is: 749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.57 : 2,048.67 = 499.89 : x
  2. Step 2: Convert to fraction form
    1,365.57/2,048.67 = 499.89/x
  3. Step 3: Cross multiply
    1,365.57x = 2,048.67 × 499.89
  4. Step 4: Simplify right side
    1,365.57x = 1,024,109.65
  5. Step 5: Solve for x
    x = 1,024,109.65/1,365.57
  6. Step 6: Final answer
    x = 749.95

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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.