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Finding the Fourth Proportional to 1,653.04, 2,479.40 and 613.04

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Solution

The fourth proportional to 1,653.04, 2,479.40 and 613.04 is: 919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.04 : 2,479.40 = 613.04 : x
  2. Step 2: Convert to fraction form
    1,653.04/2,479.40 = 613.04/x
  3. Step 3: Cross multiply
    1,653.04x = 2,479.40 × 613.04
  4. Step 4: Simplify right side
    1,653.04x = 1,519,971.38
  5. Step 5: Solve for x
    x = 1,519,971.38/1,653.04
  6. Step 6: Final answer
    x = 919.50

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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.