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Finding the Fourth Proportional to 1,153.72, 1,592.03 and 656.45

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Solution

The fourth proportional to 1,153.72, 1,592.03 and 656.45 is: 905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.72 : 1,592.03 = 656.45 : x
  2. Step 2: Convert to fraction form
    1,153.72/1,592.03 = 656.45/x
  3. Step 3: Cross multiply
    1,153.72x = 1,592.03 × 656.45
  4. Step 4: Simplify right side
    1,153.72x = 1,045,081.77
  5. Step 5: Solve for x
    x = 1,045,081.77/1,153.72
  6. Step 6: Final answer
    x = 905.84

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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.