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Finding the Fourth Proportional to 1,505.54, 2,256.89 and 530.97

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Solution

The fourth proportional to 1,505.54, 2,256.89 and 530.97 is: 795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.54 : 2,256.89 = 530.97 : x
  2. Step 2: Convert to fraction form
    1,505.54/2,256.89 = 530.97/x
  3. Step 3: Cross multiply
    1,505.54x = 2,256.89 × 530.97
  4. Step 4: Simplify right side
    1,505.54x = 1,198,338.23
  5. Step 5: Solve for x
    x = 1,198,338.23/1,505.54
  6. Step 6: Final answer
    x = 795.96

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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.