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Finding the Fourth Proportional to 1,177.95, 1,767.60 and 448.05

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Solution

The fourth proportional to 1,177.95, 1,767.60 and 448.05 is: 672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.95 : 1,767.60 = 448.05 : x
  2. Step 2: Convert to fraction form
    1,177.95/1,767.60 = 448.05/x
  3. Step 3: Cross multiply
    1,177.95x = 1,767.60 × 448.05
  4. Step 4: Simplify right side
    1,177.95x = 791,973.18
  5. Step 5: Solve for x
    x = 791,973.18/1,177.95
  6. Step 6: Final answer
    x = 672.33

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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.