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Finding the Fourth Proportional to 991.61, 1,486.89 and 552.20

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Solution

The fourth proportional to 991.61, 1,486.89 and 552.20 is: 828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.61 : 1,486.89 = 552.20 : x
  2. Step 2: Convert to fraction form
    991.61/1,486.89 = 552.20/x
  3. Step 3: Cross multiply
    991.61x = 1,486.89 × 552.20
  4. Step 4: Simplify right side
    991.61x = 821,053.22
  5. Step 5: Solve for x
    x = 821,053.22/991.61
  6. Step 6: Final answer
    x = 828.00

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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.