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Finding the Fourth Proportional to 1,191.42, 1,785.87 and 670.77

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Solution

The fourth proportional to 1,191.42, 1,785.87 and 670.77 is: 1,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.42 : 1,785.87 = 670.77 : x
  2. Step 2: Convert to fraction form
    1,191.42/1,785.87 = 670.77/x
  3. Step 3: Cross multiply
    1,191.42x = 1,785.87 × 670.77
  4. Step 4: Simplify right side
    1,191.42x = 1,197,908.02
  5. Step 5: Solve for x
    x = 1,197,908.02/1,191.42
  6. Step 6: Final answer
    x = 1,005.45

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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.