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Finding the Fourth Proportional to 1,689.62, 2,534.44 and 594.76

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Solution

The fourth proportional to 1,689.62, 2,534.44 and 594.76 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.62 : 2,534.44 = 594.76 : x
  2. Step 2: Convert to fraction form
    1,689.62/2,534.44 = 594.76/x
  3. Step 3: Cross multiply
    1,689.62x = 2,534.44 × 594.76
  4. Step 4: Simplify right side
    1,689.62x = 1,507,383.53
  5. Step 5: Solve for x
    x = 1,507,383.53/1,689.62
  6. Step 6: Final answer
    x = 892.14

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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.