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Finding the Fourth Proportional to 1,154.66, 1,731.69 and 505.26

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Solution

The fourth proportional to 1,154.66, 1,731.69 and 505.26 is: 757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.66 : 1,731.69 = 505.26 : x
  2. Step 2: Convert to fraction form
    1,154.66/1,731.69 = 505.26/x
  3. Step 3: Cross multiply
    1,154.66x = 1,731.69 × 505.26
  4. Step 4: Simplify right side
    1,154.66x = 874,953.69
  5. Step 5: Solve for x
    x = 874,953.69/1,154.66
  6. Step 6: Final answer
    x = 757.76

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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.