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Finding the Fourth Proportional to 1,070.39, 1,476.50 and 676.73

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Solution

The fourth proportional to 1,070.39, 1,476.50 and 676.73 is: 933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.39 : 1,476.50 = 676.73 : x
  2. Step 2: Convert to fraction form
    1,070.39/1,476.50 = 676.73/x
  3. Step 3: Cross multiply
    1,070.39x = 1,476.50 × 676.73
  4. Step 4: Simplify right side
    1,070.39x = 999,181.08
  5. Step 5: Solve for x
    x = 999,181.08/1,070.39
  6. Step 6: Final answer
    x = 933.48

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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.