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Finding the Fourth Proportional to 1,191.14, 1,785.74 and 498.34

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Solution

The fourth proportional to 1,191.14, 1,785.74 and 498.34 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.14 : 1,785.74 = 498.34 : x
  2. Step 2: Convert to fraction form
    1,191.14/1,785.74 = 498.34/x
  3. Step 3: Cross multiply
    1,191.14x = 1,785.74 × 498.34
  4. Step 4: Simplify right side
    1,191.14x = 889,896.74
  5. Step 5: Solve for x
    x = 889,896.74/1,191.14
  6. Step 6: Final answer
    x = 747.10

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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.