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Finding the Fourth Proportional to 991.38, 1,486.27 and 497.46

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Solution

The fourth proportional to 991.38, 1,486.27 and 497.46 is: 745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.38 : 1,486.27 = 497.46 : x
  2. Step 2: Convert to fraction form
    991.38/1,486.27 = 497.46/x
  3. Step 3: Cross multiply
    991.38x = 1,486.27 × 497.46
  4. Step 4: Simplify right side
    991.38x = 739,359.87
  5. Step 5: Solve for x
    x = 739,359.87/991.38
  6. Step 6: Final answer
    x = 745.79

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.