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Finding the Fourth Proportional to 1,663.75, 2,495.61 and 431.16

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Solution

The fourth proportional to 1,663.75, 2,495.61 and 431.16 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.75 : 2,495.61 = 431.16 : x
  2. Step 2: Convert to fraction form
    1,663.75/2,495.61 = 431.16/x
  3. Step 3: Cross multiply
    1,663.75x = 2,495.61 × 431.16
  4. Step 4: Simplify right side
    1,663.75x = 1,076,007.21
  5. Step 5: Solve for x
    x = 1,076,007.21/1,663.75
  6. Step 6: Final answer
    x = 646.74

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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.