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Finding the Fourth Proportional to 859.40, 1,290.45 and 494.90

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Solution

The fourth proportional to 859.40, 1,290.45 and 494.90 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.40 : 1,290.45 = 494.90 : x
  2. Step 2: Convert to fraction form
    859.40/1,290.45 = 494.90/x
  3. Step 3: Cross multiply
    859.40x = 1,290.45 × 494.90
  4. Step 4: Simplify right side
    859.40x = 638,643.71
  5. Step 5: Solve for x
    x = 638,643.71/859.40
  6. Step 6: Final answer
    x = 743.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.