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Finding the Fourth Proportional to 717.01, 1,075.23 and 457.18

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Solution

The fourth proportional to 717.01, 1,075.23 and 457.18 is: 685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.01 : 1,075.23 = 457.18 : x
  2. Step 2: Convert to fraction form
    717.01/1,075.23 = 457.18/x
  3. Step 3: Cross multiply
    717.01x = 1,075.23 × 457.18
  4. Step 4: Simplify right side
    717.01x = 491,573.65
  5. Step 5: Solve for x
    x = 491,573.65/717.01
  6. Step 6: Final answer
    x = 685.59

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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.