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Finding the Fourth Proportional to 1,191.85, 1,788.48 and 498.46

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Solution

The fourth proportional to 1,191.85, 1,788.48 and 498.46 is: 747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.85 : 1,788.48 = 498.46 : x
  2. Step 2: Convert to fraction form
    1,191.85/1,788.48 = 498.46/x
  3. Step 3: Cross multiply
    1,191.85x = 1,788.48 × 498.46
  4. Step 4: Simplify right side
    1,191.85x = 891,483.25
  5. Step 5: Solve for x
    x = 891,483.25/1,191.85
  6. Step 6: Final answer
    x = 747.98

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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.