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Finding the Fourth Proportional to 1,157.64, 1,597.26 and 660.11

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Solution

The fourth proportional to 1,157.64, 1,597.26 and 660.11 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,597.26 = 660.11 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,597.26 = 660.11/x
  3. Step 3: Cross multiply
    1,157.64x = 1,597.26 × 660.11
  4. Step 4: Simplify right side
    1,157.64x = 1,054,359.31
  5. Step 5: Solve for x
    x = 1,054,359.31/1,157.64
  6. Step 6: Final answer
    x = 910.78

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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.