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Finding the Fourth Proportional to 1,154.99, 1,593.82 and 657.70

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Solution

The fourth proportional to 1,154.99, 1,593.82 and 657.70 is: 907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.99 : 1,593.82 = 657.70 : x
  2. Step 2: Convert to fraction form
    1,154.99/1,593.82 = 657.70/x
  3. Step 3: Cross multiply
    1,154.99x = 1,593.82 × 657.70
  4. Step 4: Simplify right side
    1,154.99x = 1,048,255.41
  5. Step 5: Solve for x
    x = 1,048,255.41/1,154.99
  6. Step 6: Final answer
    x = 907.59

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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.