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Finding the Fourth Proportional to 1,302.06, 1,952.40 and 480.04

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Solution

The fourth proportional to 1,302.06, 1,952.40 and 480.04 is: 719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.06 : 1,952.40 = 480.04 : x
  2. Step 2: Convert to fraction form
    1,302.06/1,952.40 = 480.04/x
  3. Step 3: Cross multiply
    1,302.06x = 1,952.40 × 480.04
  4. Step 4: Simplify right side
    1,302.06x = 937,230.10
  5. Step 5: Solve for x
    x = 937,230.10/1,302.06
  6. Step 6: Final answer
    x = 719.81

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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.