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Finding the Fourth Proportional to 712.77, 1,069.16 and 469.46

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Solution

The fourth proportional to 712.77, 1,069.16 and 469.46 is: 704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 1,069.16 = 469.46 : x
  2. Step 2: Convert to fraction form
    712.77/1,069.16 = 469.46/x
  3. Step 3: Cross multiply
    712.77x = 1,069.16 × 469.46
  4. Step 4: Simplify right side
    712.77x = 501,920.16
  5. Step 5: Solve for x
    x = 501,920.16/712.77
  6. Step 6: Final answer
    x = 704.18

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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.