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Finding the Fourth Proportional to 1,619.48, 2,429.48 and 508.81

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Solution

The fourth proportional to 1,619.48, 2,429.48 and 508.81 is: 763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.48 : 2,429.48 = 508.81 : x
  2. Step 2: Convert to fraction form
    1,619.48/2,429.48 = 508.81/x
  3. Step 3: Cross multiply
    1,619.48x = 2,429.48 × 508.81
  4. Step 4: Simplify right side
    1,619.48x = 1,236,135.10
  5. Step 5: Solve for x
    x = 1,236,135.10/1,619.48
  6. Step 6: Final answer
    x = 763.29

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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.