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Finding the Fourth Proportional to 1,629.58, 2,444.50 and 590.20

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Solution

The fourth proportional to 1,629.58, 2,444.50 and 590.20 is: 885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.58 : 2,444.50 = 590.20 : x
  2. Step 2: Convert to fraction form
    1,629.58/2,444.50 = 590.20/x
  3. Step 3: Cross multiply
    1,629.58x = 2,444.50 × 590.20
  4. Step 4: Simplify right side
    1,629.58x = 1,442,743.90
  5. Step 5: Solve for x
    x = 1,442,743.90/1,629.58
  6. Step 6: Final answer
    x = 885.35

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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.