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Finding the Fourth Proportional to 717.84, 1,075.82 and 457.02

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Solution

The fourth proportional to 717.84, 1,075.82 and 457.02 is: 684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,075.82 = 457.02 : x
  2. Step 2: Convert to fraction form
    717.84/1,075.82 = 457.02/x
  3. Step 3: Cross multiply
    717.84x = 1,075.82 × 457.02
  4. Step 4: Simplify right side
    717.84x = 491,668.97
  5. Step 5: Solve for x
    x = 491,668.97/717.84
  6. Step 6: Final answer
    x = 684.93

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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.