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Finding the Fourth Proportional to 1,154.83, 1,732.75 and 606.88

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Solution

The fourth proportional to 1,154.83, 1,732.75 and 606.88 is: 910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.83 : 1,732.75 = 606.88 : x
  2. Step 2: Convert to fraction form
    1,154.83/1,732.75 = 606.88/x
  3. Step 3: Cross multiply
    1,154.83x = 1,732.75 × 606.88
  4. Step 4: Simplify right side
    1,154.83x = 1,051,571.32
  5. Step 5: Solve for x
    x = 1,051,571.32/1,154.83
  6. Step 6: Final answer
    x = 910.59

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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.