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Finding the Fourth Proportional to 1,177.94, 1,625.54 and 653.96

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Solution

The fourth proportional to 1,177.94, 1,625.54 and 653.96 is: 902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.94 : 1,625.54 = 653.96 : x
  2. Step 2: Convert to fraction form
    1,177.94/1,625.54 = 653.96/x
  3. Step 3: Cross multiply
    1,177.94x = 1,625.54 × 653.96
  4. Step 4: Simplify right side
    1,177.94x = 1,063,038.93
  5. Step 5: Solve for x
    x = 1,063,038.93/1,177.94
  6. Step 6: Final answer
    x = 902.45

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