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Finding the Fourth Proportional to 1,464.74, 2,196.63 and 490.70

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Solution

The fourth proportional to 1,464.74, 2,196.63 and 490.70 is: 735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.74 : 2,196.63 = 490.70 : x
  2. Step 2: Convert to fraction form
    1,464.74/2,196.63 = 490.70/x
  3. Step 3: Cross multiply
    1,464.74x = 2,196.63 × 490.70
  4. Step 4: Simplify right side
    1,464.74x = 1,077,886.34
  5. Step 5: Solve for x
    x = 1,077,886.34/1,464.74
  6. Step 6: Final answer
    x = 735.89

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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.