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Finding the Fourth Proportional to 1,650.04, 2,474.88 and 417.45

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Solution

The fourth proportional to 1,650.04, 2,474.88 and 417.45 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.04 : 2,474.88 = 417.45 : x
  2. Step 2: Convert to fraction form
    1,650.04/2,474.88 = 417.45/x
  3. Step 3: Cross multiply
    1,650.04x = 2,474.88 × 417.45
  4. Step 4: Simplify right side
    1,650.04x = 1,033,138.66
  5. Step 5: Solve for x
    x = 1,033,138.66/1,650.04
  6. Step 6: Final answer
    x = 626.13

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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.