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Finding the Fourth Proportional to 1,154.69, 1,593.29 and 657.30

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Solution

The fourth proportional to 1,154.69, 1,593.29 and 657.30 is: 906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.69 : 1,593.29 = 657.30 : x
  2. Step 2: Convert to fraction form
    1,154.69/1,593.29 = 657.30/x
  3. Step 3: Cross multiply
    1,154.69x = 1,593.29 × 657.30
  4. Step 4: Simplify right side
    1,154.69x = 1,047,264.48
  5. Step 5: Solve for x
    x = 1,047,264.48/1,154.69
  6. Step 6: Final answer
    x = 906.97

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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.