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Finding the Fourth Proportional to 1,315.04, 1,814.81 and 817.29

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Solution

The fourth proportional to 1,315.04, 1,814.81 and 817.29 is: 1,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.04 : 1,814.81 = 817.29 : x
  2. Step 2: Convert to fraction form
    1,315.04/1,814.81 = 817.29/x
  3. Step 3: Cross multiply
    1,315.04x = 1,814.81 × 817.29
  4. Step 4: Simplify right side
    1,315.04x = 1,483,221.98
  5. Step 5: Solve for x
    x = 1,483,221.98/1,315.04
  6. Step 6: Final answer
    x = 1,127.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.