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Finding the Fourth Proportional to 991.29, 1,487.01 and 297.93

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Solution

The fourth proportional to 991.29, 1,487.01 and 297.93 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.29 : 1,487.01 = 297.93 : x
  2. Step 2: Convert to fraction form
    991.29/1,487.01 = 297.93/x
  3. Step 3: Cross multiply
    991.29x = 1,487.01 × 297.93
  4. Step 4: Simplify right side
    991.29x = 443,021.54
  5. Step 5: Solve for x
    x = 443,021.54/991.29
  6. Step 6: Final answer
    x = 446.92

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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.