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Finding the Fourth Proportional to 1,125.86, 1,553.70 and 653.80

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Solution

The fourth proportional to 1,125.86, 1,553.70 and 653.80 is: 902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.86 : 1,553.70 = 653.80 : x
  2. Step 2: Convert to fraction form
    1,125.86/1,553.70 = 653.80/x
  3. Step 3: Cross multiply
    1,125.86x = 1,553.70 × 653.80
  4. Step 4: Simplify right side
    1,125.86x = 1,015,801.29
  5. Step 5: Solve for x
    x = 1,015,801.29/1,125.86
  6. Step 6: Final answer
    x = 902.24

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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.