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Finding the Fourth Proportional to 1,176.81, 1,763.19 and 810.29

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Solution

The fourth proportional to 1,176.81, 1,763.19 and 810.29 is: 1,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.81 : 1,763.19 = 810.29 : x
  2. Step 2: Convert to fraction form
    1,176.81/1,763.19 = 810.29/x
  3. Step 3: Cross multiply
    1,176.81x = 1,763.19 × 810.29
  4. Step 4: Simplify right side
    1,176.81x = 1,428,686.41
  5. Step 5: Solve for x
    x = 1,428,686.41/1,176.81
  6. Step 6: Final answer
    x = 1,214.03

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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.