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Finding the Fourth Proportional to 1,693.12, 2,539.49 and 460.63

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Solution

The fourth proportional to 1,693.12, 2,539.49 and 460.63 is: 690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.12 : 2,539.49 = 460.63 : x
  2. Step 2: Convert to fraction form
    1,693.12/2,539.49 = 460.63/x
  3. Step 3: Cross multiply
    1,693.12x = 2,539.49 × 460.63
  4. Step 4: Simplify right side
    1,693.12x = 1,169,756.63
  5. Step 5: Solve for x
    x = 1,169,756.63/1,693.12
  6. Step 6: Final answer
    x = 690.89

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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.