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Finding the Fourth Proportional to 1,178.36, 1,625.40 and 841.64

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Solution

The fourth proportional to 1,178.36, 1,625.40 and 841.64 is: 1,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.36 : 1,625.40 = 841.64 : x
  2. Step 2: Convert to fraction form
    1,178.36/1,625.40 = 841.64/x
  3. Step 3: Cross multiply
    1,178.36x = 1,625.40 × 841.64
  4. Step 4: Simplify right side
    1,178.36x = 1,368,001.66
  5. Step 5: Solve for x
    x = 1,368,001.66/1,178.36
  6. Step 6: Final answer
    x = 1,160.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.