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Finding the Fourth Proportional to 1,193.94, 1,776.47 and 1,164.18

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Solution

The fourth proportional to 1,193.94, 1,776.47 and 1,164.18 is: 1,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.94 : 1,776.47 = 1,164.18 : x
  2. Step 2: Convert to fraction form
    1,193.94/1,776.47 = 1,164.18/x
  3. Step 3: Cross multiply
    1,193.94x = 1,776.47 × 1,164.18
  4. Step 4: Simplify right side
    1,193.94x = 2,068,125.02
  5. Step 5: Solve for x
    x = 2,068,125.02/1,193.94
  6. Step 6: Final answer
    x = 1,732.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.