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Finding the Fourth Proportional to 1,484.08, 2,225.64 and 496.68

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Solution

The fourth proportional to 1,484.08, 2,225.64 and 496.68 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.08 : 2,225.64 = 496.68 : x
  2. Step 2: Convert to fraction form
    1,484.08/2,225.64 = 496.68/x
  3. Step 3: Cross multiply
    1,484.08x = 2,225.64 × 496.68
  4. Step 4: Simplify right side
    1,484.08x = 1,105,430.88
  5. Step 5: Solve for x
    x = 1,105,430.88/1,484.08
  6. Step 6: Final answer
    x = 744.86

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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.