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Finding the Fourth Proportional to 1,304.07, 1,955.85 and 810.53

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Solution

The fourth proportional to 1,304.07, 1,955.85 and 810.53 is: 1,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.07 : 1,955.85 = 810.53 : x
  2. Step 2: Convert to fraction form
    1,304.07/1,955.85 = 810.53/x
  3. Step 3: Cross multiply
    1,304.07x = 1,955.85 × 810.53
  4. Step 4: Simplify right side
    1,304.07x = 1,585,265.32
  5. Step 5: Solve for x
    x = 1,585,265.32/1,304.07
  6. Step 6: Final answer
    x = 1,215.63

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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.