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Finding the Fourth Proportional to 1,177.29, 1,766.20 and 630

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Solution

The fourth proportional to 1,177.29, 1,766.20 and 630 is: 945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.29 : 1,766.20 = 630 : x
  2. Step 2: Convert to fraction form
    1,177.29/1,766.20 = 630/x
  3. Step 3: Cross multiply
    1,177.29x = 1,766.20 × 630
  4. Step 4: Simplify right side
    1,177.29x = 1,112,706
  5. Step 5: Solve for x
    x = 1,112,706/1,177.29
  6. Step 6: Final answer
    x = 945.14

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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.