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Finding the Fourth Proportional to 1,637.16, 2,455.72 and 404.58

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Solution

The fourth proportional to 1,637.16, 2,455.72 and 404.58 is: 606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.16 : 2,455.72 = 404.58 : x
  2. Step 2: Convert to fraction form
    1,637.16/2,455.72 = 404.58/x
  3. Step 3: Cross multiply
    1,637.16x = 2,455.72 × 404.58
  4. Step 4: Simplify right side
    1,637.16x = 993,535.20
  5. Step 5: Solve for x
    x = 993,535.20/1,637.16
  6. Step 6: Final answer
    x = 606.87

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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.