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Finding the Fourth Proportional to 1,799.08, 2,699.06 and 566.53

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Solution

The fourth proportional to 1,799.08, 2,699.06 and 566.53 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.08 : 2,699.06 = 566.53 : x
  2. Step 2: Convert to fraction form
    1,799.08/2,699.06 = 566.53/x
  3. Step 3: Cross multiply
    1,799.08x = 2,699.06 × 566.53
  4. Step 4: Simplify right side
    1,799.08x = 1,529,088.88
  5. Step 5: Solve for x
    x = 1,529,088.88/1,799.08
  6. Step 6: Final answer
    x = 849.93

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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.