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Finding the Fourth Proportional to 717.09, 1,075.64 and 197.10

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Solution

The fourth proportional to 717.09, 1,075.64 and 197.10 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.09 : 1,075.64 = 197.10 : x
  2. Step 2: Convert to fraction form
    717.09/1,075.64 = 197.10/x
  3. Step 3: Cross multiply
    717.09x = 1,075.64 × 197.10
  4. Step 4: Simplify right side
    717.09x = 212,008.64
  5. Step 5: Solve for x
    x = 212,008.64/717.09
  6. Step 6: Final answer
    x = 295.65

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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.