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Finding the Fourth Proportional to 1,412.64, 1,947.97 and 853

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Solution

The fourth proportional to 1,412.64, 1,947.97 and 853 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.64 : 1,947.97 = 853 : x
  2. Step 2: Convert to fraction form
    1,412.64/1,947.97 = 853/x
  3. Step 3: Cross multiply
    1,412.64x = 1,947.97 × 853
  4. Step 4: Simplify right side
    1,412.64x = 1,661,618.41
  5. Step 5: Solve for x
    x = 1,661,618.41/1,412.64
  6. Step 6: Final answer
    x = 1,176.25

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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.