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Finding the Fourth Proportional to 950.17, 1,427.01 and 777.20

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Solution

The fourth proportional to 950.17, 1,427.01 and 777.20 is: 1,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.17 : 1,427.01 = 777.20 : x
  2. Step 2: Convert to fraction form
    950.17/1,427.01 = 777.20/x
  3. Step 3: Cross multiply
    950.17x = 1,427.01 × 777.20
  4. Step 4: Simplify right side
    950.17x = 1,109,075.74
  5. Step 5: Solve for x
    x = 1,109,075.74/950.17
  6. Step 6: Final answer
    x = 1,167.24

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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.