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Finding the Fourth Proportional to 1,689.40, 2,534.09 and 594.08

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Solution

The fourth proportional to 1,689.40, 2,534.09 and 594.08 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.40 : 2,534.09 = 594.08 : x
  2. Step 2: Convert to fraction form
    1,689.40/2,534.09 = 594.08/x
  3. Step 3: Cross multiply
    1,689.40x = 2,534.09 × 594.08
  4. Step 4: Simplify right side
    1,689.40x = 1,505,452.19
  5. Step 5: Solve for x
    x = 1,505,452.19/1,689.40
  6. Step 6: Final answer
    x = 891.12

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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.