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Finding the Fourth Proportional to 1,180.68, 1,769.22 and 632.94

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Solution

The fourth proportional to 1,180.68, 1,769.22 and 632.94 is: 948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.68 : 1,769.22 = 632.94 : x
  2. Step 2: Convert to fraction form
    1,180.68/1,769.22 = 632.94/x
  3. Step 3: Cross multiply
    1,180.68x = 1,769.22 × 632.94
  4. Step 4: Simplify right side
    1,180.68x = 1,119,810.11
  5. Step 5: Solve for x
    x = 1,119,810.11/1,180.68
  6. Step 6: Final answer
    x = 948.45

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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.