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Finding the Fourth Proportional to 1,498.69, 2,248.37 and 458.84

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Solution

The fourth proportional to 1,498.69, 2,248.37 and 458.84 is: 688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.69 : 2,248.37 = 458.84 : x
  2. Step 2: Convert to fraction form
    1,498.69/2,248.37 = 458.84/x
  3. Step 3: Cross multiply
    1,498.69x = 2,248.37 × 458.84
  4. Step 4: Simplify right side
    1,498.69x = 1,031,628.55
  5. Step 5: Solve for x
    x = 1,031,628.55/1,498.69
  6. Step 6: Final answer
    x = 688.35

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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.