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Finding the Fourth Proportional to 1,094.30, 1,510.11 and 596.96

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Solution

The fourth proportional to 1,094.30, 1,510.11 and 596.96 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.30 : 1,510.11 = 596.96 : x
  2. Step 2: Convert to fraction form
    1,094.30/1,510.11 = 596.96/x
  3. Step 3: Cross multiply
    1,094.30x = 1,510.11 × 596.96
  4. Step 4: Simplify right side
    1,094.30x = 901,475.27
  5. Step 5: Solve for x
    x = 901,475.27/1,094.30
  6. Step 6: Final answer
    x = 823.79

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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.