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Finding the Fourth Proportional to 1,148.48, 1,723.52 and 498.88

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Solution

The fourth proportional to 1,148.48, 1,723.52 and 498.88 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.48 : 1,723.52 = 498.88 : x
  2. Step 2: Convert to fraction form
    1,148.48/1,723.52 = 498.88/x
  3. Step 3: Cross multiply
    1,148.48x = 1,723.52 × 498.88
  4. Step 4: Simplify right side
    1,148.48x = 859,829.66
  5. Step 5: Solve for x
    x = 859,829.66/1,148.48
  6. Step 6: Final answer
    x = 748.67

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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.