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Finding the Fourth Proportional to 712.43, 1,070.34 and 465.84

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Solution

The fourth proportional to 712.43, 1,070.34 and 465.84 is: 699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.43 : 1,070.34 = 465.84 : x
  2. Step 2: Convert to fraction form
    712.43/1,070.34 = 465.84/x
  3. Step 3: Cross multiply
    712.43x = 1,070.34 × 465.84
  4. Step 4: Simplify right side
    712.43x = 498,607.19
  5. Step 5: Solve for x
    x = 498,607.19/712.43
  6. Step 6: Final answer
    x = 699.87

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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.