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Finding the Fourth Proportional to 1,009.80, 1,394.10 and 696.84

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Solution

The fourth proportional to 1,009.80, 1,394.10 and 696.84 is: 962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.80 : 1,394.10 = 696.84 : x
  2. Step 2: Convert to fraction form
    1,009.80/1,394.10 = 696.84/x
  3. Step 3: Cross multiply
    1,009.80x = 1,394.10 × 696.84
  4. Step 4: Simplify right side
    1,009.80x = 971,464.64
  5. Step 5: Solve for x
    x = 971,464.64/1,009.80
  6. Step 6: Final answer
    x = 962.04

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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.