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Finding the Fourth Proportional to 1,154.42, 1,593.09 and 657.05

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Solution

The fourth proportional to 1,154.42, 1,593.09 and 657.05 is: 906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.42 : 1,593.09 = 657.05 : x
  2. Step 2: Convert to fraction form
    1,154.42/1,593.09 = 657.05/x
  3. Step 3: Cross multiply
    1,154.42x = 1,593.09 × 657.05
  4. Step 4: Simplify right side
    1,154.42x = 1,046,731.82
  5. Step 5: Solve for x
    x = 1,046,731.82/1,154.42
  6. Step 6: Final answer
    x = 906.72

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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.