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Finding the Fourth Proportional to 1,182.29, 1,774.04 and 661.95

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Solution

The fourth proportional to 1,182.29, 1,774.04 and 661.95 is: 993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.29 : 1,774.04 = 661.95 : x
  2. Step 2: Convert to fraction form
    1,182.29/1,774.04 = 661.95/x
  3. Step 3: Cross multiply
    1,182.29x = 1,774.04 × 661.95
  4. Step 4: Simplify right side
    1,182.29x = 1,174,322.47
  5. Step 5: Solve for x
    x = 1,174,322.47/1,182.29
  6. Step 6: Final answer
    x = 993.27

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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.