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Finding the Fourth Proportional to 1,153.79, 1,592.36 and 656.49

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Solution

The fourth proportional to 1,153.79, 1,592.36 and 656.49 is: 906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.79 : 1,592.36 = 656.49 : x
  2. Step 2: Convert to fraction form
    1,153.79/1,592.36 = 656.49/x
  3. Step 3: Cross multiply
    1,153.79x = 1,592.36 × 656.49
  4. Step 4: Simplify right side
    1,153.79x = 1,045,365.13
  5. Step 5: Solve for x
    x = 1,045,365.13/1,153.79
  6. Step 6: Final answer
    x = 906.03

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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.