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Finding the Fourth Proportional to 717.79, 1,075.27 and 342.01

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Solution

The fourth proportional to 717.79, 1,075.27 and 342.01 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.79 : 1,075.27 = 342.01 : x
  2. Step 2: Convert to fraction form
    717.79/1,075.27 = 342.01/x
  3. Step 3: Cross multiply
    717.79x = 1,075.27 × 342.01
  4. Step 4: Simplify right side
    717.79x = 367,753.09
  5. Step 5: Solve for x
    x = 367,753.09/717.79
  6. Step 6: Final answer
    x = 512.34

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