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Finding the Fourth Proportional to 1,060.93, 1,463.74 and 595.09

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Solution

The fourth proportional to 1,060.93, 1,463.74 and 595.09 is: 821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.93 : 1,463.74 = 595.09 : x
  2. Step 2: Convert to fraction form
    1,060.93/1,463.74 = 595.09/x
  3. Step 3: Cross multiply
    1,060.93x = 1,463.74 × 595.09
  4. Step 4: Simplify right side
    1,060.93x = 871,057.04
  5. Step 5: Solve for x
    x = 871,057.04/1,060.93
  6. Step 6: Final answer
    x = 821.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.