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Finding the Fourth Proportional to 1,157.51, 1,596.62 and 660.05

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Solution

The fourth proportional to 1,157.51, 1,596.62 and 660.05 is: 910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.51 : 1,596.62 = 660.05 : x
  2. Step 2: Convert to fraction form
    1,157.51/1,596.62 = 660.05/x
  3. Step 3: Cross multiply
    1,157.51x = 1,596.62 × 660.05
  4. Step 4: Simplify right side
    1,157.51x = 1,053,837.75
  5. Step 5: Solve for x
    x = 1,053,837.75/1,157.51
  6. Step 6: Final answer
    x = 910.44

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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.