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Finding the Fourth Proportional to 710.58, 1,062.11 and 617.29

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Solution

The fourth proportional to 710.58, 1,062.11 and 617.29 is: 922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.58 : 1,062.11 = 617.29 : x
  2. Step 2: Convert to fraction form
    710.58/1,062.11 = 617.29/x
  3. Step 3: Cross multiply
    710.58x = 1,062.11 × 617.29
  4. Step 4: Simplify right side
    710.58x = 655,629.88
  5. Step 5: Solve for x
    x = 655,629.88/710.58
  6. Step 6: Final answer
    x = 922.67

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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.