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Finding the Fourth Proportional to 1,125.77, 1,553.65 and 653.81

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Solution

The fourth proportional to 1,125.77, 1,553.65 and 653.81 is: 902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.77 : 1,553.65 = 653.81 : x
  2. Step 2: Convert to fraction form
    1,125.77/1,553.65 = 653.81/x
  3. Step 3: Cross multiply
    1,125.77x = 1,553.65 × 653.81
  4. Step 4: Simplify right side
    1,125.77x = 1,015,782.50
  5. Step 5: Solve for x
    x = 1,015,782.50/1,125.77
  6. Step 6: Final answer
    x = 902.30

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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.