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Finding the Fourth Proportional to 910.49, 1,257.27 and 713.66

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Solution

The fourth proportional to 910.49, 1,257.27 and 713.66 is: 985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.49 : 1,257.27 = 713.66 : x
  2. Step 2: Convert to fraction form
    910.49/1,257.27 = 713.66/x
  3. Step 3: Cross multiply
    910.49x = 1,257.27 × 713.66
  4. Step 4: Simplify right side
    910.49x = 897,263.31
  5. Step 5: Solve for x
    x = 897,263.31/910.49
  6. Step 6: Final answer
    x = 985.47

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Double scale
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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.