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Finding the Fourth Proportional to 1,303.87, 1,952.97 and 814.53

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Solution

The fourth proportional to 1,303.87, 1,952.97 and 814.53 is: 1,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.87 : 1,952.97 = 814.53 : x
  2. Step 2: Convert to fraction form
    1,303.87/1,952.97 = 814.53/x
  3. Step 3: Cross multiply
    1,303.87x = 1,952.97 × 814.53
  4. Step 4: Simplify right side
    1,303.87x = 1,590,752.65
  5. Step 5: Solve for x
    x = 1,590,752.65/1,303.87
  6. Step 6: Final answer
    x = 1,220.02

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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.