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Finding the Fourth Proportional to 1,171.77, 1,617.36 and 729.40

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Solution

The fourth proportional to 1,171.77, 1,617.36 and 729.40 is: 1,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.77 : 1,617.36 = 729.40 : x
  2. Step 2: Convert to fraction form
    1,171.77/1,617.36 = 729.40/x
  3. Step 3: Cross multiply
    1,171.77x = 1,617.36 × 729.40
  4. Step 4: Simplify right side
    1,171.77x = 1,179,702.38
  5. Step 5: Solve for x
    x = 1,179,702.38/1,171.77
  6. Step 6: Final answer
    x = 1,006.77

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1.5x scale

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.