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Finding the Fourth Proportional to 717.11, 1,075.68 and 471.88

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Solution

The fourth proportional to 717.11, 1,075.68 and 471.88 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.11 : 1,075.68 = 471.88 : x
  2. Step 2: Convert to fraction form
    717.11/1,075.68 = 471.88/x
  3. Step 3: Cross multiply
    717.11x = 1,075.68 × 471.88
  4. Step 4: Simplify right side
    717.11x = 507,589.19
  5. Step 5: Solve for x
    x = 507,589.19/717.11
  6. Step 6: Final answer
    x = 707.82

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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.