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Finding the Fourth Proportional to 717.48, 1,075.68 and 284.40

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Solution

The fourth proportional to 717.48, 1,075.68 and 284.40 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.48 : 1,075.68 = 284.40 : x
  2. Step 2: Convert to fraction form
    717.48/1,075.68 = 284.40/x
  3. Step 3: Cross multiply
    717.48x = 1,075.68 × 284.40
  4. Step 4: Simplify right side
    717.48x = 305,923.39
  5. Step 5: Solve for x
    x = 305,923.39/717.48
  6. Step 6: Final answer
    x = 426.39

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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.