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Finding the Fourth Proportional to 1,154.42, 1,731.44 and 569.25

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Solution

The fourth proportional to 1,154.42, 1,731.44 and 569.25 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.42 : 1,731.44 = 569.25 : x
  2. Step 2: Convert to fraction form
    1,154.42/1,731.44 = 569.25/x
  3. Step 3: Cross multiply
    1,154.42x = 1,731.44 × 569.25
  4. Step 4: Simplify right side
    1,154.42x = 985,619.37
  5. Step 5: Solve for x
    x = 985,619.37/1,154.42
  6. Step 6: Final answer
    x = 853.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.