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Finding the Fourth Proportional to 1,304.24, 1,955.06 and 471.06

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Solution

The fourth proportional to 1,304.24, 1,955.06 and 471.06 is: 706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.24 : 1,955.06 = 471.06 : x
  2. Step 2: Convert to fraction form
    1,304.24/1,955.06 = 471.06/x
  3. Step 3: Cross multiply
    1,304.24x = 1,955.06 × 471.06
  4. Step 4: Simplify right side
    1,304.24x = 920,950.56
  5. Step 5: Solve for x
    x = 920,950.56/1,304.24
  6. Step 6: Final answer
    x = 706.12

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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.