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Finding the Fourth Proportional to 717.04, 1,075.44 and 284.08

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Solution

The fourth proportional to 717.04, 1,075.44 and 284.08 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.04 : 1,075.44 = 284.08 : x
  2. Step 2: Convert to fraction form
    717.04/1,075.44 = 284.08/x
  3. Step 3: Cross multiply
    717.04x = 1,075.44 × 284.08
  4. Step 4: Simplify right side
    717.04x = 305,511.00
  5. Step 5: Solve for x
    x = 305,511.00/717.04
  6. Step 6: Final answer
    x = 426.07

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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.