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Finding the Fourth Proportional to 1,200.02, 1,798.61 and 506.45

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Solution

The fourth proportional to 1,200.02, 1,798.61 and 506.45 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.02 : 1,798.61 = 506.45 : x
  2. Step 2: Convert to fraction form
    1,200.02/1,798.61 = 506.45/x
  3. Step 3: Cross multiply
    1,200.02x = 1,798.61 × 506.45
  4. Step 4: Simplify right side
    1,200.02x = 910,908.00
  5. Step 5: Solve for x
    x = 910,908.00/1,200.02
  6. Step 6: Final answer
    x = 759.08

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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.