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Finding the Fourth Proportional to 1,653.65, 2,480.63 and 613.67

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Solution

The fourth proportional to 1,653.65, 2,480.63 and 613.67 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.65 : 2,480.63 = 613.67 : x
  2. Step 2: Convert to fraction form
    1,653.65/2,480.63 = 613.67/x
  3. Step 3: Cross multiply
    1,653.65x = 2,480.63 × 613.67
  4. Step 4: Simplify right side
    1,653.65x = 1,522,275.84
  5. Step 5: Solve for x
    x = 1,522,275.84/1,653.65
  6. Step 6: Final answer
    x = 920.55

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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.