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Finding the Fourth Proportional to 1,699.82, 2,549.84 and 529.93

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Solution

The fourth proportional to 1,699.82, 2,549.84 and 529.93 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.82 : 2,549.84 = 529.93 : x
  2. Step 2: Convert to fraction form
    1,699.82/2,549.84 = 529.93/x
  3. Step 3: Cross multiply
    1,699.82x = 2,549.84 × 529.93
  4. Step 4: Simplify right side
    1,699.82x = 1,351,236.71
  5. Step 5: Solve for x
    x = 1,351,236.71/1,699.82
  6. Step 6: Final answer
    x = 794.93

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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.