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Finding the Fourth Proportional to 1,690.46, 2,535.95 and 594.58

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Solution

The fourth proportional to 1,690.46, 2,535.95 and 594.58 is: 891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.46 : 2,535.95 = 594.58 : x
  2. Step 2: Convert to fraction form
    1,690.46/2,535.95 = 594.58/x
  3. Step 3: Cross multiply
    1,690.46x = 2,535.95 × 594.58
  4. Step 4: Simplify right side
    1,690.46x = 1,507,825.15
  5. Step 5: Solve for x
    x = 1,507,825.15/1,690.46
  6. Step 6: Final answer
    x = 891.96

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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.