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Finding the Fourth Proportional to 1,157.21, 1,597.07 and 660.01

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Solution

The fourth proportional to 1,157.21, 1,597.07 and 660.01 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.21 : 1,597.07 = 660.01 : x
  2. Step 2: Convert to fraction form
    1,157.21/1,597.07 = 660.01/x
  3. Step 3: Cross multiply
    1,157.21x = 1,597.07 × 660.01
  4. Step 4: Simplify right side
    1,157.21x = 1,054,081.36
  5. Step 5: Solve for x
    x = 1,054,081.36/1,157.21
  6. Step 6: Final answer
    x = 910.88

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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.