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Finding the Fourth Proportional to 717.02, 1,075.44 and 284.48

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Solution

The fourth proportional to 717.02, 1,075.44 and 284.48 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.02 : 1,075.44 = 284.48 : x
  2. Step 2: Convert to fraction form
    717.02/1,075.44 = 284.48/x
  3. Step 3: Cross multiply
    717.02x = 1,075.44 × 284.48
  4. Step 4: Simplify right side
    717.02x = 305,941.17
  5. Step 5: Solve for x
    x = 305,941.17/717.02
  6. Step 6: Final answer
    x = 426.68

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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.