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Finding the Fourth Proportional to 842.67, 1,257.05 and 713.48

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Solution

The fourth proportional to 842.67, 1,257.05 and 713.48 is: 1,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.67 : 1,257.05 = 713.48 : x
  2. Step 2: Convert to fraction form
    842.67/1,257.05 = 713.48/x
  3. Step 3: Cross multiply
    842.67x = 1,257.05 × 713.48
  4. Step 4: Simplify right side
    842.67x = 896,875.53
  5. Step 5: Solve for x
    x = 896,875.53/842.67
  6. Step 6: Final answer
    x = 1,064.33

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1.5x scale

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.