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Finding the Fourth Proportional to 1,649.39, 2,473.99 and 463.50

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Solution

The fourth proportional to 1,649.39, 2,473.99 and 463.50 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.39 : 2,473.99 = 463.50 : x
  2. Step 2: Convert to fraction form
    1,649.39/2,473.99 = 463.50/x
  3. Step 3: Cross multiply
    1,649.39x = 2,473.99 × 463.50
  4. Step 4: Simplify right side
    1,649.39x = 1,146,701.58
  5. Step 5: Solve for x
    x = 1,146,701.58/1,649.39
  6. Step 6: Final answer
    x = 695.23

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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.