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Finding the Fourth Proportional to 713.82, 986.36 and 556.85

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Solution

The fourth proportional to 713.82, 986.36 and 556.85 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.82 : 986.36 = 556.85 : x
  2. Step 2: Convert to fraction form
    713.82/986.36 = 556.85/x
  3. Step 3: Cross multiply
    713.82x = 986.36 × 556.85
  4. Step 4: Simplify right side
    713.82x = 549,257.38
  5. Step 5: Solve for x
    x = 549,257.38/713.82
  6. Step 6: Final answer
    x = 769.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.