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Finding the Fourth Proportional to 712.16, 1,069.86 and 683

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Solution

The fourth proportional to 712.16, 1,069.86 and 683 is: 1,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,069.86 = 683 : x
  2. Step 2: Convert to fraction form
    712.16/1,069.86 = 683/x
  3. Step 3: Cross multiply
    712.16x = 1,069.86 × 683
  4. Step 4: Simplify right side
    712.16x = 730,714.38
  5. Step 5: Solve for x
    x = 730,714.38/712.16
  6. Step 6: Final answer
    x = 1,026.05

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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.