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Finding the Fourth Proportional to 991.56, 1,487.28 and 307.56

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Solution

The fourth proportional to 991.56, 1,487.28 and 307.56 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.56 : 1,487.28 = 307.56 : x
  2. Step 2: Convert to fraction form
    991.56/1,487.28 = 307.56/x
  3. Step 3: Cross multiply
    991.56x = 1,487.28 × 307.56
  4. Step 4: Simplify right side
    991.56x = 457,427.84
  5. Step 5: Solve for x
    x = 457,427.84/991.56
  6. Step 6: Final answer
    x = 461.32

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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.