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Finding the Fourth Proportional to 741.84, 1,111.92 and 499.64

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Solution

The fourth proportional to 741.84, 1,111.92 and 499.64 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,111.92 = 499.64 : x
  2. Step 2: Convert to fraction form
    741.84/1,111.92 = 499.64/x
  3. Step 3: Cross multiply
    741.84x = 1,111.92 × 499.64
  4. Step 4: Simplify right side
    741.84x = 555,559.71
  5. Step 5: Solve for x
    x = 555,559.71/741.84
  6. Step 6: Final answer
    x = 748.89

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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.