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Finding the Fourth Proportional to 830.06, 1,145.64 and 480.75

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Solution

The fourth proportional to 830.06, 1,145.64 and 480.75 is: 663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 1,145.64 = 480.75 : x
  2. Step 2: Convert to fraction form
    830.06/1,145.64 = 480.75/x
  3. Step 3: Cross multiply
    830.06x = 1,145.64 × 480.75
  4. Step 4: Simplify right side
    830.06x = 550,766.43
  5. Step 5: Solve for x
    x = 550,766.43/830.06
  6. Step 6: Final answer
    x = 663.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.