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Finding the Fourth Proportional to 1,094.35, 1,510.22 and 596.99

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Solution

The fourth proportional to 1,094.35, 1,510.22 and 596.99 is: 823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.35 : 1,510.22 = 596.99 : x
  2. Step 2: Convert to fraction form
    1,094.35/1,510.22 = 596.99/x
  3. Step 3: Cross multiply
    1,094.35x = 1,510.22 × 596.99
  4. Step 4: Simplify right side
    1,094.35x = 901,588.49
  5. Step 5: Solve for x
    x = 901,588.49/1,094.35
  6. Step 6: Final answer
    x = 823.85

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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.