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Finding the Fourth Proportional to 832.72, 1,242.44 and 709.60

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Solution

The fourth proportional to 832.72, 1,242.44 and 709.60 is: 1,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.72 : 1,242.44 = 709.60 : x
  2. Step 2: Convert to fraction form
    832.72/1,242.44 = 709.60/x
  3. Step 3: Cross multiply
    832.72x = 1,242.44 × 709.60
  4. Step 4: Simplify right side
    832.72x = 881,635.42
  5. Step 5: Solve for x
    x = 881,635.42/832.72
  6. Step 6: Final answer
    x = 1,058.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.