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Finding the Fourth Proportional to 1,154.89, 1,593.47 and 657.49

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Solution

The fourth proportional to 1,154.89, 1,593.47 and 657.49 is: 907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.89 : 1,593.47 = 657.49 : x
  2. Step 2: Convert to fraction form
    1,154.89/1,593.47 = 657.49/x
  3. Step 3: Cross multiply
    1,154.89x = 1,593.47 × 657.49
  4. Step 4: Simplify right side
    1,154.89x = 1,047,682.62
  5. Step 5: Solve for x
    x = 1,047,682.62/1,154.89
  6. Step 6: Final answer
    x = 907.17

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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.