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Finding the Fourth Proportional to 1,244.01, 1,866.72 and 464.52

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Solution

The fourth proportional to 1,244.01, 1,866.72 and 464.52 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.01 : 1,866.72 = 464.52 : x
  2. Step 2: Convert to fraction form
    1,244.01/1,866.72 = 464.52/x
  3. Step 3: Cross multiply
    1,244.01x = 1,866.72 × 464.52
  4. Step 4: Simplify right side
    1,244.01x = 867,128.77
  5. Step 5: Solve for x
    x = 867,128.77/1,244.01
  6. Step 6: Final answer
    x = 697.04

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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.