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Finding the Fourth Proportional to 1,177.63, 1,625.06 and 653.63

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Solution

The fourth proportional to 1,177.63, 1,625.06 and 653.63 is: 901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.63 : 1,625.06 = 653.63 : x
  2. Step 2: Convert to fraction form
    1,177.63/1,625.06 = 653.63/x
  3. Step 3: Cross multiply
    1,177.63x = 1,625.06 × 653.63
  4. Step 4: Simplify right side
    1,177.63x = 1,062,181.48
  5. Step 5: Solve for x
    x = 1,062,181.48/1,177.63
  6. Step 6: Final answer
    x = 901.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.