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Finding the Fourth Proportional to 1,154.80, 1,731.04 and 505.36

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Solution

The fourth proportional to 1,154.80, 1,731.04 and 505.36 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.80 : 1,731.04 = 505.36 : x
  2. Step 2: Convert to fraction form
    1,154.80/1,731.04 = 505.36/x
  3. Step 3: Cross multiply
    1,154.80x = 1,731.04 × 505.36
  4. Step 4: Simplify right side
    1,154.80x = 874,798.37
  5. Step 5: Solve for x
    x = 874,798.37/1,154.80
  6. Step 6: Final answer
    x = 757.53

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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.