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Finding the Fourth Proportional to 1,693.13, 2,539.82 and 460.64

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Solution

The fourth proportional to 1,693.13, 2,539.82 and 460.64 is: 690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.13 : 2,539.82 = 460.64 : x
  2. Step 2: Convert to fraction form
    1,693.13/2,539.82 = 460.64/x
  3. Step 3: Cross multiply
    1,693.13x = 2,539.82 × 460.64
  4. Step 4: Simplify right side
    1,693.13x = 1,169,929.41
  5. Step 5: Solve for x
    x = 1,169,929.41/1,693.13
  6. Step 6: Final answer
    x = 690.99

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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.