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Finding the Fourth Proportional to 1,605.45, 2,406.92 and 632.28

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Solution

The fourth proportional to 1,605.45, 2,406.92 and 632.28 is: 947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.45 : 2,406.92 = 632.28 : x
  2. Step 2: Convert to fraction form
    1,605.45/2,406.92 = 632.28/x
  3. Step 3: Cross multiply
    1,605.45x = 2,406.92 × 632.28
  4. Step 4: Simplify right side
    1,605.45x = 1,521,844.22
  5. Step 5: Solve for x
    x = 1,521,844.22/1,605.45
  6. Step 6: Final answer
    x = 947.92

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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.