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Finding the Fourth Proportional to 712.02, 1,066.16 and 609.96

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Solution

The fourth proportional to 712.02, 1,066.16 and 609.96 is: 913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 1,066.16 = 609.96 : x
  2. Step 2: Convert to fraction form
    712.02/1,066.16 = 609.96/x
  3. Step 3: Cross multiply
    712.02x = 1,066.16 × 609.96
  4. Step 4: Simplify right side
    712.02x = 650,314.95
  5. Step 5: Solve for x
    x = 650,314.95/712.02
  6. Step 6: Final answer
    x = 913.34

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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.