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Finding the Fourth Proportional to 1,304.66, 1,953.06 and 841.52

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Solution

The fourth proportional to 1,304.66, 1,953.06 and 841.52 is: 1,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.66 : 1,953.06 = 841.52 : x
  2. Step 2: Convert to fraction form
    1,304.66/1,953.06 = 841.52/x
  3. Step 3: Cross multiply
    1,304.66x = 1,953.06 × 841.52
  4. Step 4: Simplify right side
    1,304.66x = 1,643,525.08
  5. Step 5: Solve for x
    x = 1,643,525.08/1,304.66
  6. Step 6: Final answer
    x = 1,259.74

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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.