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Finding the Fourth Proportional to 1,191.12, 1,784.58 and 670.50

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Solution

The fourth proportional to 1,191.12, 1,784.58 and 670.50 is: 1,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.12 : 1,784.58 = 670.50 : x
  2. Step 2: Convert to fraction form
    1,191.12/1,784.58 = 670.50/x
  3. Step 3: Cross multiply
    1,191.12x = 1,784.58 × 670.50
  4. Step 4: Simplify right side
    1,191.12x = 1,196,560.89
  5. Step 5: Solve for x
    x = 1,196,560.89/1,191.12
  6. Step 6: Final answer
    x = 1,004.57

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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.